{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10, demo 1\n",
    "\n",
    "Bayesian data analysis\n",
    "\n",
    "Rejection sampling example\n",
    "\n",
    "In rejection sampling the proposal distribution $g(\\theta)$ has to form an envelope over the target distribution $q(\\theta)$, that is, there has to be value $M$ so that\n",
    "\n",
    "$$\n",
    "  \\frac{q(\\theta)}{M g(\\theta)} \\leq 1.\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import gaussian_kde\n",
    "import preliz as pz\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import ConnectionPatch\n",
    "pz.style.use('preliz-doc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fake interesting distribution\n",
    "x = np.linspace(-3, 3, 200)\n",
    "r = np.array([ 1.1 ,  1.3 , -0.1 , -0.7 ,  0.2 , -0.4 ,  0.06, -1.7 ,\n",
    "               1.7 ,  0.3 ,  0.7 ,  1.6 , -2.06, -0.74,  0.2 ,  0.5 ])\n",
    "# Estimate the density (named q, to emphasize that it does not need to be\n",
    "# normalized). Parameter bw_method=0.48 is used to mimic the outcome of the\n",
    "# kernelp function in Matlab.\n",
    "q = gaussian_kde(r, bw_method=0.48).evaluate(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# rejection sampling example\n",
    "g_mean = 0\n",
    "g_std = 1.1\n",
    "g = pz.Normal(g_mean, g_std).pdf(x)\n",
    "# M is computed by discrete approximation\n",
    "M = np.max(q/g)\n",
    "# prescale\n",
    "g *= M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create figure and axes\n",
    "_, ax = plt.subplots(figsize=(10, 6))\n",
    "\n",
    "# Plot densities\n",
    "ax.plot(x, q, label=r'$q(\\theta|y)$')\n",
    "ax.plot(x, g, 'C3--', label=r'$Mg(\\theta)$')\n",
    "ax.fill_between(x, q, color='C0', alpha=0.1)\n",
    "ax.set(xlim=(x[[0, -1]]), yticks=[])\n",
    "ax.legend()\n",
    "\n",
    "# Illustrate one sample\n",
    "r1 = -0.8\n",
    "zi = np.argmin(np.abs(x - r1))  # closest grid point\n",
    "\n",
    "# Vertical lines\n",
    "ax.vlines(x[zi], 0, q[zi], color='gray')\n",
    "ax.vlines(x[zi], q[zi], g[zi], color='gray', linestyles='--')\n",
    "\n",
    "# Mark points\n",
    "r21, r22 = 0.3 * g[zi], 0.8 * g[zi]\n",
    "ax.plot(r1, r21, 'o', color=\"C1\", markersize=12)\n",
    "ax.plot(r1, r22, 'o', color=\"C2\", markersize=12)\n",
    "\n",
    "# Annotations\n",
    "ax.text(x[zi], q[zi], r'$\\leftarrow \\, q(\\theta=r|y)$')\n",
    "ax.text(x[zi], g[zi], r'$\\leftarrow \\, g(\\theta=r)$')\n",
    "ax.text(r1 - 0.1, r21, 'accepted', ha='right')\n",
    "ax.text(r1 - 0.1, r22, 'rejected', ha='right')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get nsamp samples\n",
    "nsamp = 200\n",
    "r1 = pz.Normal(g_mean, g_std).rvs(size=nsamp)\n",
    "zi = np.argmin(np.abs(x[:,None] - r1), axis=0)\n",
    "r2 = np.random.rand(nsamp) * g[zi]\n",
    "acc = r2 < q[zi]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cdRTnkcAbkWonu7mN/2zw8urmihn6BbvLmdU/hjYx+t2IiNTH8uXLadeuHUlJSQdtc9JJJ/n9vN999x0PP/wwycnJnHLKKfztb3/Ddoistfbt23P99df7vS+RQsG8iIjIfjaUmty50sMveyrS64e3sHF7N6cC+RDRzGHw1y5OTmpl544VHtrEGKS7Dv1zIiJS4ZtvvmmS82RnZ3PddddVDRqcffbZnH322U1y7mihYF5ERISKYjxvbvUxda2XMhPibXBjFwfj0ux1bpcjwdErwcYr/V2U+Kj6/RR5LZYVmwxN1lp6EZFgGzp0KEOHDg12NyKagnkRERFg+V6L+1d7sYDBSTb+0cNB29jQLFpnmaYK7AEum4Frv5f9rzVe5mz3MbGdybUdHThtGoQREZHIpWBeREQEyEqwcWUHBwkOuKCNHVuIzsZ7FsyvZeu7FGLHT4zqre9MyyLm98B+xiYfP+02uS/DSfsQHZARERFpLH3DiYhIVPJZFs9t9LKh1Kx67MqODi5q6wjpQL502tRqgTyAVVBA6bSpeBbMr/XnLNPEm7MMz7y5eHOWYZlmre3Cmc0w+Fs3J//KdJJoh6XFFhcscvPpTl+wuyYiIhIQmpkXEZGok++2uDXPw4LdJl/kG8zo5wr5AneWaVI2a0adbcpmzcQxaHC1lPtom8kflWonq5mNW/Pc/Fpk8X+5Hs4qNPm/rg5cSrsXEZEIopl5ERGJKkuKTC5cXM6C3SZxNji/jSPkA3mgYo38ATPyB7IK8vHlLq/69+HO5Ie7trEGz/ZxcWl7OwbwZYGPQk+weyUiIuJfmpkXEZGoYFkWs7f5eGC1F48FXeIM/pXppGt8eIxrW4W7GtTucGfyI4XTZnB9JydHJNmItRm01j70IiISYRTMi4hIxCs3Le5f5eXd7RXrp0em2PhHDycJjvAJ8IzkFg1q15CZfEdWr0b3L1QNb1F9m7rP831sKbO4qK22HBQRkfCmYF5ERCKeZUHuXhMbcG0nB39sF36BnD0jEyMlpc4A3UhJxZ6RCTR8Jj8abCu3uCPPQ4kJOXtN7ujuJEbr6EVEJExFXl6diIjIAWLtBv/KdPF4byeXtneEXSAPYNhsxI6fWGeb2PETqlLmGzqTHw1au+D6zg4cBny4w+TypW7y3VawuyUiInJYFMyLiEhE+jLfx4yN3qp/t401ODLZXsdPhD7nkGziJk3GSEmp9riRkkrcpMnVqtNXzuTXZf+Z/GhgGAbnt3HwRC8nSQ5YUmQx/tdyVuyNvK36REQk8inNXkREIoplWczY5GPaOi8WkJVgkB3mQfz+nEOycQwaXLEmvnAXRnKLisD9gCJ2lTP5pdOmHvRY+8/kR5MhyXZm9jP48zIP68osLvnVzX0ZTo5NiZy/ExERiXzR9w0uIiIRy2Na/GOll0d/D+TPTbdzRPPI+6ozbDYcWb1wDhuOI6vXQQPyhszkR5tOcTZm9neR3dxGiQnzCjU7LyIi4UUz8yIiEhFKfBY3LffwfWFFobubujo4v42+5uo7kx+NkhwG03s5eWurj3PaaFZeRMRfTNPkjDPOIC0tjWeeeabG84WFhTz++ON89tln7Ny5k06dOnHVVVdxyimnVLVZt24dY8eOZcqUKVx00UVN2f2woW9yEREJe/luiz8tcfN9oUmsDR7JciqQ3099Z/IjkWWaeHOW4Zk3F2/OMiyz+gy802ZwQVsHjt+LInpMi5mbvHhMFcYTkchw6qmnkpGRQUZGBgsXLqy1ze7duxk6dGhVuzVr1jTqnLNnzyY3N5frr7++xnNr1qzhtNNO46233mLYsGFccMEF7Ny5kxtvvJEvv/yyql2nTp049dRTmT59OsXFxY3qT6TSnY6IiIS9eYUmOXstkh3wWC8XfRKjJ1iVg/MsmE/ZrBnVtvMzUlKIHT/xoEsMHljt5e1tPubuMnk400mCI/x2PhARqVReXs7q1atxOBx4vV5yc3MZPHhwjXbTpk1jz549ADRr1ozOnTsf9jl9Ph+PP/442dnZ9OvXr9pze/fu5corr8Q0Td55552q84wbN45x48bx1FNPMWLEiKr2l112Ge+++y4zZ87kmmuuOew+RSrd7YiISNg7pbWdv3Zx8GI/BfJSwbNgPqXTplYL5AGsggJKp03Fs2B+rT83KtVGvA3m7za5bKmbHdq6TkTC2PLly/F6vRxzzDHYbDby8vJqtMnLy+PVV1/luOOOAyArK6tRW7h+/fXXbN68mdNOO63Gc48//jjr1q3jrrvuqjZgkJWVRffu3Vm0aBFut7vq8Z49e5KZmcmbb76Jaaq2yYF0xyMiImFp0R6TPd59gdZFbR10itPXmlSk1pfNmlFnm7JZM2uk3AMMa2Hn2b4uUp2Qt9fi0iVuNpXpBlJEwtNvv/0GwJAhQ+jYsWOtwfy9995Ls2bNGD16NAC9e/eu9nxxcTFTp05l9OjR9O3bl1NPPZVPPvmEhQsXkpGRwfTp06u1f+eddzAMgxNPPLHa43v27OHll18mIyODkSNH1uhHcnIylmWxa9euao+PHTuWzZs3M2/evIa/ARFOdz0iIhJ2vi7wceVSN9ctc1Pi08ypVOfLXV5jRv5AVkE+vtzltT6XlWDjxX4u2scabCyz+OMSN6tKFNCLSPipDOZ79epFZmZmjWD+k08+Yd68eVx//fVs3ry5qm2lXbt2cd555/Hkk0/Srl07Jk6cSPv27Zk0aRKvvPIKUDGrXsmyLObPn0/Xrl1JSkqqdq6PPvqIsrIyxo0bV2tfy8vLAXA6ndUeHzBgAAA//PBDQ19+xNOaeRERCSv/2+Hj9jwPPqCl08CuJc1yAKtw16EbHaJd+1gbz/Vxcc0yN6tKLK5b5mbOETE4bfqDE4kUpXUMBtsMiNnv815XWwOItfu3bZyfvtyWLVsGVMy2Z2Vl8dFHH7F582batm2L2+3mgQceoFu3blx44YVcd911VW0r3XLLLaxatYr77ruPM888s+rx6dOn89hjjwHVg/9Vq1ZRWFjIMcccU6Mv33zzTVWbyp/d34YNG4iJiSE5Obna43369AHgl19+OZy3IKIpmBcRkbDx5hYv962u2EP+5FY2/t7DWVWFXKSSkdzCL+1axxg828fFDcvdXNHBoUBeJMIc9UP5QZ87uoWNx3q5qv49cn45B1txMyjJ4Nm+MVX/PmlhOYXe2tv2SjB4uf++tmf9Us6WWrrxy/DYujtfD263mxUrVtChQweSkpKqZtDz8vJo27Ytzz33HBs3buS5557D4XCwdOlS4uLi6Nq1KwDfffcdX331FRdccEG1QB7gjDPO4LHHHiM5OZk2bdpUPb5161YAWrZsWaM/P//8MwBvvvnmQfucmZmJ7YAdVxISEoiJiak6tuyjYF5ERMLCzE1epq6tuDs6L93O/3V1YFMgL7WwZ2RipKTUmWpvpKRiz8g85LGSnQbP9XFVKwblNi1cCuxFJMTl5ubi8XiqZs4zMyuueXl5eWRlZfH0008zcuRIjj76aHbs2MGOHTsYOHAgdrsdgNdeew2Ayy+/vMaxK2fP90+xh4r944EaKfaFhYXk5+eTnZ3NSy+9VON4X3/9NVdccQVHHHFEra+lefPmNdbSi4J5EREJA69u3hfIX9bezrUdHY2qtGuZZsW66sJdGMktKoK/KNp7vVKkvg+GzUbs+ImUTpt60Dax4yfU+7Xu/7e2psTk2mVu/tbNydEt7I3uq4gEz/dHxhz0uQPH677IPnjbA7+NPhxc/7ZvDzx428aqTLGvTFNPS0sjJSWF3NxcHnzwQTweD7fccgtQfW19pe+//54uXbrQrl27GsfesWMHUDOYj42tyCioXP9eadu2bQC0atWq1r5+++23ABx77LG1Pl9eXk5cXNzBXmrUUjAvIiIh78hkG6lOOLeNgys6NO6r63D2Ho9Ekf4+OIdkw6TJtbzGVGLHTzjs1/jyZh9byuGGHA//yoRjUxTQi4SrhqxLD4W2DVVbgJ6Zmcm3337L7t27ufzyy+nUqVOtbXfv3s3evXurpdDvb/78iu09DwzmW7SoWL5UOUNfyeutGJB3uVwcyO1287///Y+WLVty9NFH13jeNE2Kioro3r173S84CimYFxGRkNcl3sabA2No4WzcTU/l3uMHqtx7nEmTIyKQPZRoeR+cQ7JxDBrs1+yDm7s62O21+Czf5MblHh7MgBGpCuhFJPQcLJj//vvvadWqFVdddVWNtpWz+JVB9+7du2sc1+v1MnPmzBrHBujRowc2m41169ZVe7xyDf3OnTtrHO+NN95g586d3HrrrTUq2QOsXbsW0zTp2bPnIV5x9An/XDoREYk4lmXx1HovPxT6qh5rbCDfmL3HI0m0vQ+GzYYjqxfOYcNxZPVq9DICp83g3p5OxrS04bXg/3I9fJHvO/QPiog0IY/HU1XoLiUlperxCy+8kMcff5znnnuOhISEqseXLVuGy+WiW7duAMTFxdGuXTuWL1/O8uX7tvH0er3ceeedrFy5ktjYWLp06VLtvElJSWRkZLB06VIsa1+l/rS0NDp27MiCBQvYsmVL1eOLFi3i4Ycfpl+/fowfP77W1/Lrr78CkJ0d/oPM/qZgXkREQs4T6708ucHL5BwPW8v9s498Y/cejxR6HxrPaTO4p6eTsZUB/XIF9CISWlauXInb7a4xc96hQwdGjx5NRkZG1WMFBQVs2bKFnj17VpsZv+yyy/D5fFx00UXccccd3H///Zx66qksW7aM+Ph4MjMzq4rl7W/06NEUFRWxZMmSao9fccUVlJWVcf755/PAAw9w0003MX78eNq0acMTTzyBw1F70vjcuXOx2+0cf/zxjXhHIpOCeRERCSnPbPDy7MaKwOi6Tg7SY/yzntAfe49HAr0P/uEwDO7u6eTkVjZ8VOy2YFr+GXgSEWmspUuXAjXT4GtTmWK///7yUDGLf8MNN5CQkMDs2bP58ssvGTt2LP/4xz8oKSlh8ODBtR7vnHPOwW63M2fOnBqP33nnncTExPDSSy/xyy+/cNlll/HWW28dtDBeaWkpn332GSNGjCAtLe2QryXaaM28iIiEjJmbvDyxvqJIzuTODi5q67+vKX/tPR7u9D74j90w+HsPJx1ifVzY1q6tEkUkZJxzzjmcc8459Wp7zDHHkJubW+NxwzC48sorufLKK6s9fvfddwNw0kkn1Xq8tLQ0xo4dy3vvvccNN9xAfHx81XMXXnghF154YX1fBh988AElJSVccskl9f6ZaKKZeRERCQn7bz93TUcHE9r5d7y5cu/xutR37/FwpvfBvxyGwZUdHSQ69gXyO9yaoReR8ObxeGrs625ZFq+99hqzZs1i1KhRNWby9/eXv/yFkpISXn755cPug9fr5amnnmLkyJEMGTLksI8TyTQzLyIiQff9Lh8PrqkI5P/U3s7ljdx+rjb+3ns8XOl9CKyZm7w8td7L471dDEjSeygi4Sk3N5eLLrqIY489lvbt27N3714WLVpEbm4uGRkZ3HPPPXX+fIcOHXjggQdqDAg0xNatWznttNM4/fTTD/sYkc6wrMAt8CopKWHixInMmDGjWnqFiIjI/jymxe0rPKS5DP7S2YERwHTl2vdXb9ze4+FI74P/+SyL65Z5+KHQpJkdnu7joleCAnoRCT+rVq3iX//6F0uWLKGwsBCn00mXLl0YO3YsF198MbGxscHuoqBgXkREQoTPsrCBXwN5yzRr3WP8YI9HG70P/lfqs7h+mZuf9lgkO+D5vi66xOs9FRER/1OavYiIBMWCQh9fFZjc2MWBzTCw+3k2vvaZ5xRix0/EOSQbR9ahK/xGuso92KNFUwxexNkNHs1yccVvbpYVW1z9m5vn+8bQNlbF8URExL8UzIuISJP7rcjkLzkeSkxoF2twoR+r1kNFIF/bmnCroKDi8UmT651KrtnryHCowR1/auYwmN7LxWVL3KwprQjoX+jrIsWlgF5ERPxHwbyIiDSpVSUm1y1zU2JCdnMbZ6Xb/Xp8yzQpmzWjzjZls2biGDT4kEF5UwaAEjj+HNyprxZOg//0dvHHJeWsL7P4qsDHmem67RIREf/R1IKIiDSZzWUW1/zmptALvRMM/p3pJMbm39lKX+7yasF3bayCfHy5y+tsUxkAHnisygDQs2B+o/sqgVffwR3LNP1+7rSYioD+9m4OBfIiIuJ3CuZFRKRJFHosrlvmZrsbusRVpCE3c/g/7dgqrN82OHW1C2YAKP7lr8Gdw9UpzlYtkC/zWXgDV3tYRESiiIJ5EREJONOyuGF5xfrhNBf8p7eLZGdg1g8byS0a1c4yTdyffBTUAFD8xx+DO/5S6LG48jc396/yEsDNhEREJEoo50tERALOZhhc3NbBxjIPj/d2kRYTuEJg9oxMjJSUOoNxIyUVe0ZmjcdrWyNfl6YIAKVxGju4409Li02WFln8WuSjlcvgyo66DRMRkcOnmXkREWkSI1LtzDkihm4B3nPbsNmIHT+xzjax4yfUKH53sDXydZ6rCQJAaZzKwZ26HGxwx9+ObmHnlq4VAfyTG7y8vdUb8HOKiEjkUjAvIiIB8/oWL5vL9q0rj7U3zdZcziHZxE2aXCOIM1JSiaulcnl91sgfqKkCQGmcwx3cCZRz2ji4vH3FDg73rvLyZb6vSc4rIiKRR/ldIiISELO3erl/tZdnnfDWwBiaB2iN/ME4h2TjGDS4XnvE16dI2oGaMgCUxnEOyYZJk2vZZjCV2PETmnybwas7Otjhhne3+7g1z8MzfQz6JupvSUREGkbBvIiI+N28XT7uXVWRQjwuzd7kgXwlw2bDkdXrkO0asvY9WAGgNE5DBncCzTAMpnR3kO+x+HaXyZ0rPLw50IXdCM7nREREwpOGgUVExK9y95rclOvBB5zcysbVYVDkq75r32MuupiEqdMUyIepysEd57DhOLJ6BTWzwmEY3J/hZHSqjalZTgXyIhLSZs+eTUZGBrNnzw52V/zuscceIyMjgx9//DHYXWkwBfMiIuI328stJi1zs9cHg5Ns3NndiREGQUp9i6S5xvxBqfXiN/F2g4cyXXSK09+UiMj+fvzxRzIyMnjssceC3ZWQpm8PERHxi2KvxfU5bra7oUucwcNZTpy20A/kIfSKpEl0+n6Xj3+u9GBqD3qRsGGZJt6cZXjmzcWbswzLNA/9Q2HohBNO4MMPP+SEE04IdldkP6Gf+ygiImGh3KwYIU51wvReTpIc4RHIVwq1ImkSXfLdFjcu91BmQgsnXNvJGewuicgheBbMr+U7I4XY8RMj7jsjMTGRxMTEYHdDDqBgXkRE/CLVZfBcXxdbyi3axobnDHYoFUmT6JLqMri1m5M7V3h4dqOPLnE2TmptD3a3ROQgPAvmUzptao3HrYKCisdr2Qa1qf34449MmDCB6667jqOPPprp06ezePFiioqKyM3NxbIs3n77bd566y3y8vLw+Xx069aNCy+8kLPPPrvasWbPns2tt97Kfffdx5lnnlntuQ0bNvDkk08yd+5cdu7cSXJyMkcffTTXX3897dq1q9GvDRs28Mwzz/Ddd9+xfft2EhMT6d69O+PGjePMM8/kscceY/r06QBMnz696r8BPv/8c9q3bw+A2+3m5ZdfZs6cOaxZswbDMMjKyuKyyy5j1KhRNc67ZcsWHnroIb777js8Hg+9e/fmz3/+c6Pf52BSMC8iIo2yucyibWzFLHy83aBbfHjNyB+ovhXwRfzttNZ21pWaPL/Rxz9WeugQpy3rREKRZZqUzZpRZ5uyWTNxDBocEoPBv/zyC0899RRDhw7l3HPPZcuWLViWxV//+lfef/99OnfuzCmnnILL5WLu3LlMmTKFVatWcfPNNx/y2IsXL+ayyy6jtLSUESNG0LFjRzZt2sR7773HN998w+uvv06HDh2q9eXyyy+nuLiYo48+mpNPPpndu3eTk5PDzJkzOfPMM8nOzmbcuHG88847ZGdnk529b1AkKSkJqAjkL7vsMubPn0+vXr04++yz8Xg8fP3111xzzTXcfvvtjB8/vurntm/fznnnnce2bds4+uij6d27N6tWreKPf/wjQ4cO9eO73bQUzIuIyGFbUOjjmmUerujg4E/t7WFR7E7Cn2WaEZs9cW1HB6tLLL4qMJmc42ZW/xjSY/S5Egklvtzl1VLra2MV5OPLXR4Sg8Nz587lnnvuqTbb/sYbb/D+++9z9tln849//AOHoyIsdLvdTJo0ieeff56TTz6ZPn36HPS4Ho+HyZMnY5omb7/9NpmZmVXPLVy4kAkTJnDPPffw5JNPVh178uTJ7N27l6effppjjz222vG2bt0KUBVcVwbz119/fY1zP/7448yfP5/rr7+ea6+9tur+o7i4mIkTJ3L//fdzwgknkJaWBsC///1vtm3bxl/+8heuvvrqquO8/vrr3HHHHfV/M0NMZHzziYhIk1tfWrEFndeC1SWRWfBHQo9nwXyKJ19Pyb13U/rEdEruvZviydfjWTA/2F3zC5thcE9PJz3iDfI98JccN6U+FcQTCSVW4S6/tgu0ypnr/c2aNYv4+HjuuOOOqkAewOVyMXnyZAA++OCDOo/71VdfsWnTJv70pz9VC+QBBg8ezKhRo/j6668pLi4GKlLkt2zZwmmnnVYjkAdIT0+v1+sxTZNXX32VTp06VQvkARISErj22mvxeDx8+umnQMUgwocffkhqaiqXXnpptWOdc845dO7cuV7nDUWamRcRkQYr8lr8JcfDbi/0TjDCZgu6UBLJs8uBEg5rVP0h3m7wSJaL8b+Wk9nMRpjVkhSJeEZyC7+2C7S+fftW+3dpaSl5eXm0bt2ap59+ukZ7r9cLwOrVq+s87qJFi6ra1baF3I4dOzBNkzVr1tC3b19+/fVXAIYPH344L6PKmjVr2L17N61bt662nr5Swe9ZE5X9X7NmDeXl5Rx55JHExMRUa2uz2TjiiCNYu3Zto/oULArmRUSkQXyWxS25HtaUWrR2wdQsF7H2wEUbkRj0RlMFZH8JtzWqjdU21uC1/jG0cqGBMpEQY8/IxEhJqTPV3khJxZ6RedDnm1LLli2r/XvPnj1YlsW2bdtqDYYrlZSU1Hnc3bt3A/Dee+/V2a60tBSAoqIigKrU98NVWFgIwIoVK1ixYkW9z5uamlpru4M9Hg4UzIuISINMXevl+0KTWFtFIN/KFbhAI9SD3sMZaIiW2WV/C7c1qv7Qer+18j7LInevRa+E8B+oEAl3hs1G7PiJtV7LK8WOnxAyA4sHDgg2a9YMgN69ezN79uzDPm5CQgIATz75JCNGjDhk+8qt7bZt23bY59z/vCeeeCLTpk2r93nz8/Nrff5gj4eD0PgLExGRsLCkyOTlzT4A7urhDGhgURn0HhjAVQa9wV4jfThrt+s7u2yZqkFwoHBbo+pPpb6KZS1//NXN0iL9bYiEAueQbOImTcZISan2uJGSSlyID8omJCTQrVs3Vq9ezZ49ew77OP369QP2pdvXt/3cuXMP2dZur9ia0+fz1XiuW7duJCQksHTpUjwezyGP1aVLF2JiYli6dCnl5eXVnjNNk59//rk+3Q9JCuZFRKTe+ibauKO7g2s7OjihZeD2wA71oPdwBxoaMrss1YXbGlV/ctkqbtjcFkzOcbOtXAXxREKBc0g2CVMfI/5vtxN3zXXE/+12EqZOC+lAvtLFF19MaWkpt912W63p9Bs2bGDjxo11HmP06NG0bduWF154gQULFtR43uPxsHDhwqp/jxo1ivT0dObMmcO3335bo/3+M/bNmzev8Vglh8PBBRdcwKZNm3jggQdqDejz8vKqZtxdLhdjx44lPz+f559/vlq7N998M2zXy4PS7EVEpIHGpQX+qyOUU6obs3Y7mmeXGyvc1qj6k/33CveXLHGzqsRico6b5/q6iAtgrQoRqR/DZgvLpT3nn38+ixcv5p133uHnn3/mqKOOonXr1uTn57N69WoWL17Mww8/TPv27Q96DJfLxaOPPsrll1/O+PHjGTZsGD169ABgy5YtLFy4kOTkZD766KOq9o888gh/+tOfuPzyyznmmGPIzMykuLiYnJwcysrKePfddwHo2rUrrVu35oMPPiA2Npb09HQMw+CCCy4gMTGRSZMmsWzZMl566SW+/vprhgwZQkpKCtu2bSMvL4/ly5fz+uuvV62Hv/HGG5k3bx6PPPIIP/30E7169WLVqlV8/fXXHH300Xz33XeBfcMDRMG8iIjUqdhr8e+1Xq7v5KCFs2mCh1AOehsz0BDNs8uNFcprVJuiSGOCw+DRLCfjF7vJ2Wtx5woP92c4sak4nogcBsMwuP/++zn22GN58803+eqrrygpKSElJYVOnTpx8803M2zYsEMep1+/fsyZM4dnn32Wb775hp9++gmXy0VaWhqjR4/m5JNPrtZ+4MCBvPPOOzz11FN89913zJs3j6SkJLp168b5559f1c5utzN9+nT+9a9/8d///pe9e/cCcNJJJ5GYmIjL5eKZZ57hrbfe4t133+Xjjz/G7XbTsmXLqmP17Nmz6nitW7fmtdde46GHHuK7775j4cKF9O7dmxdeeIEffvghbIN5w7KsgOVqlZSUMHHiRGbMmEF8fHygTiMiIgFiWhaTczx8s8tkQKLB831dTVJZ25uzjJJ77z5ku/i/3d7kMyKeeXMpfeLg1X8rxV1zHc5h1bffsUyT4snXH3J2OWHqtJApnBRqai+KmErs+AlBSW1t6iKNP+82ufI3N14Lrurg4MqOmpcRkcB79dVX+fvf/87DDz/MKaecEuzuyO/0DSAiIgf1zAYf3+wycRlwY5em20s+lFOqGzO7Hsqzy8FW39lt55BsHIMGh8R2hcHYmeCI5jamdHPwj5VeXtzk5ax0Oy0DuKOEiAjA+vXrAUhPTw9yT2R/CuZFRKRW3xb4eGqDF4Ap3Z30SWy6YCmUg97GDjQ4h2TDpMkhNbscbA2d3Q6FNarB3Pf+jDQH291wbAubAnkRCai5c+fy2WefMXv2bFq3bk3//v2D3SXZj4J5ERGpYX2pyd/yPFjAuel2TmsduMr1BxPooPdw1zn7Y6AhlGaXgy0Ys9v+EOwijVd00C2ciATeV199xXvvvceAAQO47bbbcDqdwe6S7EffBCIiUk2Jz+LG5R6KfdA/0eCvXYL3VRGooLex65z9MdAQCrPLwRbM2e3GCpUijZZpsvKXZSzdWMApPVJxZGaF3HslIuFrypQpTJkyJdjdkINQMC8iItXkuy3KTWjphAczXDhtwU3j9XfQ66+ZYM2uN16wZ7cbIxR2JvAsmE/JSzNI21VAGlBKYIvviYhIaFEwLyIi1XSIs/Fyfxebyy1ax0TWelx/zwRrdr1xQmV2+3AEu0hj5aDUgZ9QM8SXJ4iIiP9o+kBERAAo9e3bqTTRYZDR7PC/IizTxJuzDM+8uXhzlmGZpj+62GgNmQmWwAuF2e3DVVk7oS6BKNJomSae35ZS+tzTtfcLsKgYlAqVz52IiASGZuZFRIQt5RYTfy3nsvYOzk23N2oLuqbed7shwnkmOFAOtxCgPwR7druxmnpngto+W7UxCN3lCSIi4j8K5kVEoly5afHX5W52uOHdbT7Gpdk53N2uQr0yeTjPBAdCsAdeQnkLwvpqqtoJB/ts1SWaBqVERKJR6H47iohIwFmWxX2rvCwrtkh2wMOZTlyHWfCuvuvRg5n6WzkTXJdQngn2p8rg8MBZ3sqBF8+C+U3SD+eQbOImTa7xezFSUokLk3XflbUTnMOG48jqFZDU+kN9tmrjS0r2az9ERCS0aGZeRCSKvbXVx3+3+7AB92U4aRt7+EFIOFQmj4SZYH8ItS3htDNA3erz2dqfBdhSUonJygpcp0REJOj0LSkiEqUW7zF5cI0XgOs6OTgy2d6o44XLevRImAlurFAsBBjo2e1w1tDPjMG+QSnLsqoVtxQRkcihmXkRkSi0x2txc64brwWjUm1c0q5xgTyE13r0aJ8JDpeBF6nQkM/M/sX3Sn0W96zysN0N/+ntxN6IwpYiIhJ6FMyLiEShBDtc0MbBnO0+/tHd2ajq9ZXCrTJ5NO8RH04DL1K/zxYJCcRd9+dqWQ3byi2+yDcpNeGp9V6u6eRsoh6LiESWiy++mPnz55ObmxvsrlQTHVMQIiJSjc0wmNjewWsDXDRz+Ge2Llj7bkvDqRBgeKnPZyvu0stx9u5T7fPVOd7G7d0rAvhnN/r4fpcvoP0UEWlKjz32GBkZGfz444/B7krQ6I5KRCSKrNhrVls/6zzMyvUHo/Xo4UEDL+HncD9bY1vZOTvdjgVMyfOwtVzr50X8ybR8bC75npV73mVzyfeYlgbNpOkozV5EJErscFtc/Zub5g6Dx3q5aBsbmPWz0b4ePVw4h2TDpMm17DO/b821hJbD/Wz9tYuD34pMcvZa3JLr5pk+Lr8P5IlEo9VFH/L99jvY691S9VgzRxuOan0XXRNPCmLPJFoomBcRiQJey+LWXDf5HkhxQosAL52N5vXo4UQDL+HncD5bMTaDBzOdXLDIzeIii+nrvEzuovXzIo2xuuhDPt18BRWbQe6z17uVTzdfwQltnw5qQO92u3n99df56quvWLlyJfn5+SQmJjJo0CCuueYaevWqeR35/PPPeeWVV1i6dCklJSW0atWKQYMGcfnll9OzZ89qx3711Vd57733WLVqFQBt2rThmGOO4ZprrqF58+ZVbfPz83nqqaf48ssv2bJlC82aNSM7O5vrr7++2jEBRo4cCcA777zDQw89xBdffEFxcTE9e/bk6quvZtSoUVVtK9ewA0yYMKHq8Xbt2vHFF18c1vkBFi5cyCOPPMLSpUuJiYlh2LBh3HzzzQ1675uSgnkRkSjw5HovP+2xiLfBgxlO4uyalZMKGniJDu1jbdzVw8k9qzwc1UKDNSKNYVo+vt9+BwcG8hUswOD77XfSOeFEbEbjd4s5HLt37+bee+9l8ODBHHfccSQlJbFhwwa++OILvvnmG2bNmkW/fv2q2j/44IM899xzJCcnM2rUKFJTU9myZQvz5s2jd+/eVYFveXk5l112GQsWLKBz586cddZZOJ1O1q1bx2uvvcYZZ5xRFcyvX7+eiy++mG3btjF8+HBGjx5Nfn4+n3zyCd999x0vvvgi/fv3r9Zvt9vNH//4R8rKyjjjjDMoKirigw8+4Nprr+XBBx/ktNNOA2DcuHEAzJ8/n3HjxtGuXTsAEhMTq47V0PPPmzePyy+/HMMwOOmkk2jdujXz5s3jggsuICkpKQC/pcYzLMsK2OKpkpISJk6cyIwZM4iPjw/UaUREpA7fFviYlOMB4P6eTk5sFZwbCxEJvhKfRbwG80QaZXPJ97y34ZxDtju1w5u0jT+qCXpUk9vtZteuXaSlpVV7fMWKFZx77rkMGDCAF154AYCvv/6aK664gp49ezJz5kxatNi3k4nX66WwsJCWLVsC+4L+008/nfvuuw+7fd89RVFRETabjWbNmgFw/vnns2TJEp5++mmGDx9e1W7NmjWcddZZtGvXjvfee6/q8ZEjR7Jp0yaOPPJInn32WZzOigyiVatWceaZZ+Jyufjyyy9JSEgAKgrgTZ8+nZkzZzJ06NAa70FDzm+aJmPGjGHjxo3MmjWLwYMHA2BZFn/96195//33AVTNXkREms6WcovbV1QE8uel2xXIi0S5/QP5DaUm5aYK4ok0VIl3u1/bBYLL5aoRyAP06NGDoUOHsmDBAjyeivuDl19+GYApU6ZUC+QBHA5HVSDv8/l4/fXXSUxMZMqUKdUCeaiYFa8M5JctW8Yvv/zCGWecUS2QBujSpQvnnnsueXl55OXl1ejjn//856pAHqBbt26cddZZ7Nmzh88//7xer7+h5//pp5/YsGEDxx9/fFUgD2AYBjfccEON1xoqlGYvIhLB7l/lYbcXspoZ3NBFl3wJX5Zpam2/H32Z7+P2FR5OamXnb920fl6kIeIdrf3aLlBycnJ49tln+emnn9i5c2dV8F5p165dtG7dml9//RWXy0V2dt2FT1evXk1xcTFHHXVUtXXxtVm0aBEAO3fu5LHHHqv1WJX/v//adafTyYABA2q0Hzx4MC+//DLLly/n9NNPr/Pch3P+5cuXV53nQO3atSM9PZ1NmzYd8rxNTXd2IiIRbEo3J6zy8H9dHbhUvVrClGfB/Fqq7qcQO36iqu4fJpcNSnzw5lYfA5NsjFXWjki9pccNpZmjDXu9W6l93bxBM0cb0uNqpn43lZ9//pmJEyu2IB0+fDidO3cmPj4ewzD47LPPWL58OW63G6hIj09LS8N2iAHSPXv2ANQ643+g3bt3A/DVV1/x1VdfHbRdaWlptX8nJyfX2o/U1NSqvtZHQ89fedzK8xyoZcuWCuZFRKRptY4xeLSXK9jdEDlsngXzKZ02tcbjVkFBxeN17LEuBze8hZ3L2ps8u9HH3Ss9ZDYz6BKvTAeR+rAZdo5qfdfv1ewNqgf0FQPnR7X+R9CK3wE8+eSTuN1uXnnlFQYNGlTtucpZ60qJiYns2LED0zTrDOgri8Bt27btkOevXNd+++23M378+Hr3u7CwsNZ+5OfnV/W1Php6/srjVp7nQDt37qzXeZuartoiIhFmQ6nJZzt9we6GSKNZpknZrBl1timbNRPLNJuoR5Hlqo4OhjS3UWrCTbkeSn1aPy9SX10TT+KEtk/TzJFe7fFmjjZB35YOKiq5Jycn1wjkS0tLWbZsWbXH+vXrh9vtrtrq7WC6dOlCQkICS5YsqZr5PpjKKvG//PJLg/rt8XhqDDZAxZZxAJmZmVWPVQb8Zi3fAQ09f+VxK8+zv02bNrF169Z6HaepKZgXEYkgHtPiljwPN+V6eH2LN9jdEWkUX+7yaqn1tbEK8vHlLm+iHkUWu2Fwb08nLZ2wqsTiX2t0zRBpiK6JJ3Fh1x85tcObjGrzOKd2eJMLu/4Q9EAeKtZ57969mxUrVlQ95vP5eOCBByg44Lp60UUXAXDPPfdQWFhY7Tmv11s1K+1wODjvvPMoKirinnvuweerPnFQVFTE3r17gYoBgv79+/PBBx/w4Ycf1uifaZoHHTx49NFHq63vX7VqFW+//TaJiYnV9ppPTk4GqDXQbuj5Bw0aRPv27fnqq6+qBfSWZfHvf/+7xmsNFdqaTkQkgjy8xsOszT6aO+C1ATGkx2idvIQvz7y5lD4x/ZDt4q65Duew4YdsJ7WbX+jjqt88WMC0LCfHpGj9vEi4+/LLL7nqqqtISkpi7NixuFwu5s+fz7Zt2+jZsyfz58/n888/p3379gA88MADPP/88yQnJzN69GhSU1PZtm0b8+bN49JLL+WSSy4BKvaZv/TSS1m4cCGdO3fmmGOOweVysXHjRr799lteeeUVsrKyANiwYQMTJ05k06ZNDBgwgN69exMTE8PmzZtZtGgRBQUFLFmypKrPI0eOxO1207p1a8rLyznuuOMoLi7m/fffp6SkpNo+8wArV67klFNOoXXr1px++ukkJiaSkJDAhRdeeFjn//7777niiiuq7TP/ww8/sGPHDpKSksjNzQ25rem0Zl5EJEJ8W+Bj1uaKkeO/d3cqkJewZyS3OHSjBrST2mUn2/lTe5NSE45MVtKmSCQYMWIE06ZN46mnnmLOnDnExsZy5JFH8vjjj/P444/XaH/zzTczcOBAZs2axccff0x5eTmtWrXiyCOPrLa1W0xMDC+88AKzZs1izpw5vPnmm9hsNtq2bcv5559Pu3btqtp26NCBd955hxdeeIHPP/+ct99+G5vNRuvWrRk8eDB/+MMfavTD5XLx/PPP869//Yt3332XoqIievbsyTXXXFNtVh6ge/fu3HfffTz//PO8+OKLuN1u2rVrVxXMN/T8Rx11FC+++CKPPPIIH330UdV79uijj3LzzTc36vcRKJqZFxGJANvLLc5bVE6hFy5sY+emrtpqSsKfZZoUT76+zlR7IyWVhKnTtE1dI1mWhWFoAFBEgmfkyJEAfPHFF0HuSfjQN5+ISJjzWRZ/y3NT6IXMZgZ/7qykK4kMhs1G7PiJdbaJHT9Bgbwf7B/Iey2L73aF5vpQERHZR99+IiJh7vtdJj/tsYi3wf0ZTu0nLxHFOSSbuEmTMVJSqj1upKQSp23p/M5tWly+xM31yzx8W6CAXkQklGn6RkQkzB2TYufhTPBa0ClOY7QSeZxDsnEMGlxR3b5wF0ZyC+wZmZqRDwCXzSArwcaiIh93rPDw+gAbrVV/Q0QkJCmYFxGJACNTVX06UCzTVBAZAgybDUdWr2B3Iyr8pbODX/aYLN9rMSXPw5N9nNi1nl5EAkxr5RtOwbyISBiyLIsnN3g5K82hWbMA8iyYT9msGdUKsBkpKcSOn6j0bolYLpvB/RlOLlzkZuEek2c3+Liyo24ZRURCjaYWRETC0MubfTy9wceEX8spNwO2KUlU8yyYT+m0qTUqqVsFBZROm4pnwfwg9Uwk8DrF2fhbt4pdMZ7e4GXhbjPIPRIRkQMpmBcRCTO/FZk8us4LwKXtHcSo4J3fWaZJ2awZdbYpmzUTy1SAI5Hr5NZ2Tm1twwT+udKDL3C7GYuIyGFQzpSISBgp9lrcmufBa8GoVBvnpGutfCD4cpfXubc5gFWQjy93udZxS0S7pauTUp+Hazo6tG5eRCTEKJgXEQkTlmVxzyoPG8os2sTAHd2d1faGDsg5o7T4m1W4y6/tRMJVvN3goUxXsLshIiK1UDAvIhIm3tvu46OdJnbgvp4ukhyBDeSjufibkdzCr+1EIsUve0zi7ZDRLPIH9UREQp2uxCIiYcC0LN7Y6gPg6o4O+icF9vId7cXf7BmZGCkpdbYxUlKxZ2Q2UY9Egu/jHT7+tMTNrbkeSn1aPy8iEmwK5kVEwoDNMHimj4vJnR1c0j6w6+RV/K1iT/PY8RPrbBM7fkJULDkIFZZp4s1ZhmfeXLw5yyL67y9UZSfbSHHCmlKLf6/1Brs7IiJRT2n2IiJhIs5uMKFd4C/boVb8LVjr9p1DsmHS5FqWGqQSO35CxC81CCXRvOQjlLRwGvyzp5Orf/Pw1lYfRyXbGJGqIpwiIsGiYF5EJIQt3O1jaZHFhHZ2bE1USTqUir8FO4hzDsnGMWhwVBYBDBWVSz4OVLnkg0mTFdA3oaHJdia0M5mxycc/VnronWCjdYyq3IuIBIPuRkREQtRuj8WUPA+PrvMya7Ovyc4bKsXfQmXdvmGz4cjqhXPYcBxZvRTINyEt+QhN13Z0kNXMYLcXbl/hwdT+8yIiQaE7EhGREGRZFnev8rDdDR1jDc5uwv3kQ6H4m4I4gYYt+ZCm47QZ3NvTSawN5u82+SJfn0MRkWBQMC8iEoLe3e7j83wThwH39nQSb2+6NNZQKP6mIC5yNaSQXSgt+ZDqOsfbuLWrg9u6ORiVqttJEZFg0Jp5EZEQs67U5MHVFZWir+3ooHdi098oB7v4m4K4yNTQGgihsuRDandamm4jRUSCSVdhEZEQ4jEtbs31UGZCdnMbE9oFr1J0MIu/KYiLPIdTyK5yyUddWRqBXvIh9VPktfgs38c4BfgiIk1GeVEiIiFkSZHFihKL5g64u4ezySrYH0ywir+Fwrp98Z/DrYEQCks+5NBKfRYXLHJz10ovn+1sumKdIiLRTt9+IiIh5IjmNmb1c3FfT2dUb/ekIC6yNKYGgnNINnGTJtcY3DFSUonTtnQhIc5uMKZlxWfx7lUetpWrur2ISFNQLpSISIjJSFCACsFfty/+09gaCMFc8iH1c3VHBz/uNllWbHH7Cg//6e3EHuTMIhGRSKdgXkQkyCzL4t9rvYxtZaeXAvlqFMRFBn/UQKhc8iGhqXK7ugsWuVmw22TGJh+XttdtpohIIOluSEQkyGZv8zFrs48/LXFT6FF66oGCtW5f/Ec1EKJDpzgbN3etCOD/s97Lb0Xaf15EJJB0RyQiEkRrSkz+taZiG7qrOjpIdiotVSKPaiBEj9Na2zkh1YbXgkfWeoPdHRGRiKZvTRGRIHGbFn/Lq9iGbmhzG+PbBm8bOpFAUyG76GAYBrd1d3JWmp2HMp3B7o6ISETTYiYRkSCZvs7L8r0WyQ64KwS2oRMJtEDUQLBMUzUVQkySoyKgFxGRwFIwLyISBD8U+nhpc8V+zHd2j+5t6CS6+LOQnWfB/Fp2O0ghdvxEzfSHCMuy+GCHyaDmNtroOici4lcauhYRCYIPtlcE8men2zk+Ven1Ig3lWTCf0mlTa+xfbxUUUDptKp4F84PUM9nf0xt83L7Cw5Q8Nz5LBT5FRPxJwbyISBD8o4eT27s5uKGzEqREGsoyTcpmzaizTdmsmVimqqkH29hWNuJt8Mseixc2+oLdHRGRiKJgXkQkCGyGwZnpDuLs0ZF2apkm3pxleObNxZuzTEGWNIovd3mNGfkDWQX5+HKXN1GP5GA6xtm4uVvF+vmnNmi7OhERf9KUkIhIE1lfavLKFh9/7hQ9QTzUvq6ZZgm4TvwDMaePU7EyaTCrcJdf20lgndrKxrcFNj7LN7lthYdX+rui6hooIhIouoMSEWkCXsvitjwPr2/xcf/q6Nl7+WDrmtlbjHv2WxRde6XWNkuDGckt/NpOAsswDKZ0c9LKBWtLLe0/LyLiJwrmRUSawHMbfCwptkiww1UdoyMpqj7rmikuVrEyaTB7RmaN/eoPZKSkYs/IbKIeyaEkOw3u6lGRbv/mVh9rSpRuLyLSWArmRUQCbEmRyTMbKmai/tbNGTXbM9VnXXMlFSuThjBsNmLHT6yzTez4CVrCEWKOTLZzbUcHT/Z20iVevxsRkcbSlVREJIBKfBZT8jz4gD+0tDG2VfRsQ9eQ9coqViYN5RySTdykyTVm6I2UVOImTdY+8yHqTx0cZCdHz3VQRCSQoiPXU0QkSB5e42VDmUW6C279vaLzwVimWTGbXbgLI7lFRSpxGM8sNnS9soqVSX0c+Dlp9vCjmCvyIuZzE002lJqsLrU4LkXBvYjI4VAwLyISIAUeiy/yfRjAXT2cJDkOnl5fW8V3IyWF2PETw3aGsXJdc31T7VWsTA6lzs/JsOFB7Jk01Iq9Jpf86sYCXhtg0DFOAzAiIg2lK6eISICkOA3eGBjDnd0dDKkjrfRgFd+tgoKwLg5Xn3XNVW1VrCxqWKaJN2cZnnlz8eYsq3ethEj9nATT4f4u/KFrvEFWgkGpCbet8OC1rCY7t4hIpNDMvIhIALVyGZyedvBLbX0qvpfNmolj0OCwTB12DsmGSZMpff4ZKC4+aDsVK4sOh5uBEumfk2AIdjaQ3TC4u6eLc38pZ0mRxXMbfFwZJTt9iIj4i77xRET87L3tPj7P99WrbX0qvod7cTjnkGwSH38K15lnQ7Nm1Z5TsbLo0ZiZ9VD8nARzVruxQiXLoU2Mwa1dK2qJPLPBy9Ki8HkPRURCgYZARUT8aG2Jyb2rPJSZ8HgvOKpF3YWd6lv0LdyLwxk2G7HjziLm9HERVeRP6qexM+uh9jkJ9qx2Y4RalsPYVja+2WXj450mU/I8vDbARZw9OrbvFBFpLN1BiYj4ice0mLKiIpDPbm7jyORDX2LrW/QtUorDGTYbjqxeOIcNx5HVS4F8lGjszHoofU5CZVb7cIValoNhGPytm5M0F6wvs5i1uX5ZTSIiomBeRMRvnt7gZVmxRaK9onq9zTj07FJlxfe6qDichLvGzqyHyuekvrPaoZxyH2pZDgBJDoO7eji5pJ2dS9ppmzoRkfpSMC8i4geL9pg8v7FiRum27k7SYuqXJlqfiu8qDifhrrEz66HyOQm1We3DEUpZDvvLTrbz585OnDal2IuI1JfuDkVEGmmv1+L2FR5M4ORWNsa0bNjMknNINnGTJteYeVRxOIkU/phZD4XPSX1nq72/LQnZ2flQyXKoi8e0eH+7D0vb1YmI1EkF8EREGumrApONZRZtYuDm3yszN5RzSDaOQYNVHE4iUuXMeum0qQdtU5+Z9WB/Tuo7W+3+77t4vv0mJAvi+et3ESimZXHlb25+2WNRZjo4O123qiIiB2NYARz2LCkpYeLEicyYMYP4+PhAnUZEJOi+LfCR4DAYmKTgW+Rgaq8Cn0rs+AkhF/TWxjJNiidff8hU+/2FanZNKP8uXtrk5d9rvcTa4LUBLjrF6boqIlIbBfMiIiLSZCzTDOsMlMpq9vVlpKSSMHVaSL7GUP1dmJbF1b95mL/bpHeCwQt9XVpLLyJSi+BfsUVEwpBlWTyxzsO2cq3pFGmIcN+e8GBr9w8mlAvihervwmZUVLdPtMNvxRbPbvQGu0siIiEpNK7aIiJh5o2tPp7Z6GP84nLKfAroRaKJc0g2CVMfw3X6uHq1b8pt3iJFWozBlG4VNUie3eBj8Z7QLCgoIhJMCuZFRBpodYnJ1LUVM0WXtncQa1f6p0i0MWw2HL371K9tE2/zFilObGXn5FY2TOCeVR5VtxcROYBKhIqINIDHtLgtz0O5CUcl2zivTcO2oRORyFG5zVtdBfGCvc1buLu5q5NS08OkTg4MQwOnIiL708y8iEgDPLnBS85ei2QH3NndiU03lyJRq3Kbt7oEc5u3SJDoMHg4UxXtRURqoyujiEg9/bzb5IWNPgBu6+6kdYwCeZFod7CCeEZKashuSxfOft5tssOtdHsREVCavYhIvb2wyYsFnN7azqhUpdeL+FuobpV2KM4h2TgGDQ7LvoeTN7Z4uX+1l6Na2Hgsy6m0exGJegrmRUTq6aEMJy9s8jKhrS6dIv7mWTCfslkzqq0/N1JSiB0/MSxmtyu3eZPAGdTchssGc3eZvLnVx7ltdC0WkeimIWMRkXqKtRtc3dFJM4dmg0T8ybNgPqXTptYoJGcVFFA6bSqeBfOD1DMJJd3ibUzqVBHAT13rZU2JtqsTkeimYF5EpA7byy1mbvLi05ZIIcMyTbw5y/DMm4s3ZxmWqRv6cGaZJmWzZtTZpmzWTP2eBYDz29gZlmyjzIQpeR48pq7NIhK9lJ8kInIQpmVx50oPPxSabC6zuKWbM9hdinrhnootNflyl9e5tRuAVZCPL3e50tgFm2Hw9+5Ozl1UTs5ei6c2eLmuk67NIhKdNDMvInIQr23x8UOhSaytYjZIgkup2JHJKtzl13YS+VrHGEz5fXD1hY0+VindXkSilGbmRURqsarE5NG1XgAmd3bQOV5jn8FU31Rsx6DBqiAeJior1/s2bapXeyO5RYB7JOHkhJZ2zttjktnMoGuc6piISHRSMC8icgC3afG3PA9uC45uYeOcdM3KB5tSsSNLbcsl6mKkpGLPyAxwryTc3NJV6fUiEt00fSEicoAn1nvJ22uR7IA7u2sv41CgVOzIcbDlEnWJHT9BGRdSpz1ei8V7lG4vItFFM/MiIvvZ4bZ4bYsPgDu6O2npUiAfCuqbYq1U7NBWn+US+zNSUokdP0HFDaVO60pNrlzqpsyENwbE0DpG120RiQ4K5kVE9tPKZTCzn4tvC0xGpCq9PlTYMzIxUlLqnM1VKnboq89yCQDX6Wfg6N234veuGXk5hLYxBilOg5y9Fn9f6WF6Lyc2ZVSJSBTQN6SIyAF6NrNxWQeNdYYSw2YjdvzEOtuEUiq2ZZp4c5bhmTcXb84y7ZH+u/oug7C3a48jq1fI/D4ltDltBvf0dBJrg3mFJq//nl0lIhLpdLcqIgJ8U+Aj1WnQO1HBQ31VViO3CndhJLcI+Cyqc0g2TJpcyz7zoZWKXWtxt2bNcJ04lpjTx0V1gKrlEhKo60aXeBuTOzu4b7WXR9d5yU620U27kIhIhFMwLyJRb2u5xW15HkpNeLK3i0HNdQN4KLUFrEZKCrHjJwY0qHYOycYxaHCTDiI0RGVxtxr27sU9+y3cn3xE3KWXh8zAQ1PTconoFujrxjnpdr7ZZTJ3l8mUPA8v9XPhtCndXkQiV2jc/YiIBIlpWdyxwkORD7KaGfRL1I3foRysGrlVUEDptKl4FswP6PkNmw1HVi+cw4aHVCp2vYq7FRc3yXsUqsJtuYT4T1NcNwzD4O/dnSQ7IHevxQublG4vIpFN35YiEtVe3uxjwW6TWBvc3dOpWZxDqE/AWjZrZlSuEa9vcTeI3vcIKrIr4iZNxkhJqfa4kZJK3KTJUZu1EMma8rrR0mVwR3cnY1JtnJeuIqYiEtmUZi8iUStvr8lj67wA3NTFQac4jW8eSn0CVqsgH1/uchxZvZqoV6GhIXvcR+t7VCnUl0uIfzX1dWNEql27kYhIVFAwLyJRqdysWCfvseC4FBvj0nTjVx/1DVgbEthGioYWbYuk92h3eTnb9paQX1ZGfmnF/wrKyij3+fBZFqZl4TMtLCziHA6SXC4SXS4SXTE0b9eJtgnN6ODzEa9gPiIF87phWRY/77FUC0VEIpKCeRGJSu9t97GixCLFCXd0c2JoT+J6qXfAmtS8Yku2KJp1rU9xt/2FW8V207LIK9jFT9t2sLxgF6sKd1f9L7+szC/nSImNoUNiIp2SEundMoU+LVPp2zKVjJQWuOwacAtXwdrFwLIsbsnz8MlOk/t7Ojmxlf6GRCSyKJgXkah0ZpodjwntYw1SXArk66teAWtCAmVP/QdrV9NWug+2yuJutVazP7BtGFRs31lSypcbNjJv81YWbtvOL9t2UOzxHLR9gtNJcoyL5jExJMfEkBTjIsZux24YGIbx+/9DqcdHidfDXo+HYo+HIreHbXtLKPF6KSgrp6CsnMU7djJn1ZqqYztsNrJSWnBUuzYMb9uG4e3a0KV5kgbhwkSwdjEwDINOsRV/I/es8jAgyUZajP5mRCRyGJZlWYE6eElJCRMnTmTGjBnEx8cH6jQiItKEDrr9Wj1EQ4Ezz4L5lD7/DBQXH7RNKL4PJR4PX2/YxGfrNvD5+o0s3rGzRptYu52MlBb0aJFMx6QEOicl0qV5Ep2bJ5HkcmEzDGyHEWCbpsmucjcbi4vZXLSXdXuKyNu1i7xdu1mxq7DWQYQ2zeI5tn07xnbpxB+6dCKtme4zQtmhrhuB+kx4TIs/LnHzW7FFdnMb/+ntPKy/URGRUKRgXkSihmVZzN7m4w8t7TRzVNzMWabZ5EW4gnFOf6ttv2hapIDHXWcQa6SkkjB1Wti93oayTJPy/76D++OPYO++98NISSV2/ISQCeQLy8r5YPVaZq9Yxf/WrKPU6632fM8WyQxKa03flin0b9WSninJxDkcTTojbpomG4r2smjHDhZs2c5P27ezLH8X3gMqnw9Ka8XYLp05tVtnhqSnadY+BNW+z3zgPxPrSk3OX+SmzIQbOzsY306JqSISGRTMi0jU+HC7jykrPHSOM3h9gAvjpwW13FgGNh289pvZ8ExBP3BQwjJNSu+/55A/F/+326OminsoDtyUeDy8nbeKV3Jy+Xz9Rjz7BcVtmsVzVNs2DGubxtHt2tI2oRn2EBx4KfF4WLhtO99s2MzXGzezLL96+nbnpETOzejBeZk9GNi6lQL7EBKsz8RbW73cs8qL04CX+7vo0Sz0/q5FRBpKwbyIRIXNZRbnLSqn2AfXdHRwydafmzzlM1hppk3FM28upU9MP2S7uGuuwzlseBP0SCpZlsUPW7bywtIcXlueR5F7X9p61+ZJjO7UgbFdOjGwdUucYVhobuvevXy+biOfr9/INxs3V8sw6JHcnAuzMvhjnyw6NU8KYi8lmCzL4i85Hr7ZZdKzmcGr/V1KtxeRsKc8IxGJeD7L4o4Vbop90C/R4JK2BmX/mlHnz5TNmolj0GC/zRhZpknZrKY9Z1MLVsVqObgit5sXlubwn0VLWF6wb9uv9gkJnNa9M6d060Lv1BQcYfo3Vym9WTMu6pXBRb0yKHF7+HjdeuasWsPXGzazonA3/5g3n7vmzWd0pw5c3q83p3XrSowj/AYt5PAZhsEd3Z1MynEzubNDgbyIRAQF8yIS8V7a5OOnPRbxNvhnDydG3vJDbh9mFeTjy13ul3RwyzRxf/JRk54zGIJVsVpqWlO4m8d++ZXnlixjj9sNQJzDzgmdOnJWj24c075txAaz8S4n43p0Y1yPbhS73Xywei1v5K7khy3b+HTdBj5dt4HU2Fj+2CeL6wb202x9FEl1Gczq59KyCxGJGArmRSSi5RabPL6+IuX2pq4OOsTZ8BTuOsRPVbDq2a4utRaKC/A5g6U+W7PFjp8QtpkH4WD+lq3cP/8n/rtyDebvq+i6NE/ioswMzsroSqu4uKgKZBJcLs7L7Ml5mT1Zs3sPr+Tk8lbeKraXlPKvhb/w758WcUb3rkweNIDh7dpE1XsTrfb/Ha8vNUl2GiQ59HsXkfCkYF5EItq/1njxWjAyxcbprStmIpsqHfxwtnAL9xR055BsmDQ5KBWro9ncTZu5a94CPlm7vuqx4W3bMKF3Bid06hixs/AN0aV5ElOOHMIt2YP4eO16nl+aw7zNW5m9YhWzV6xiYOtW/HXIQM7N6BH2yw7k0D7d6ePOFR6OTbFxf4Yr2N0RETksCuZFJKLdn+Hk0XUeJnd2Vs3INEU6eH3WyPv7nKHCOSQbx6DBIVfFPRJ9tX4jd81bwJcbNgJgNwxO6daFK/r2ol/rlloXXAu7zcZJXTtzUtfOLNuZzzO/LuO/q9bwy/YdXPTBJ9z23Q/ckj2Iib2zNAgSwdrEGLhN+HinyXEpPsa20u9aRMKPqtmLSFQKdGV5b84ySu69u0E/E+7V7KXp/LJtB7d8+33VTLzTZuO07l24un8fMlNaKF28gQpKS3l+SQ4v/racXeXlQMU2fTcOHsiV/fuQ4IrcmdtQ2T4xGP14ar2XJzd4SbDDGwNjaBOjz42IhBcF8yIScXZ5LH7abTK6Zd0zLbXv+e6fdPD6btPmz3NK5Fu7ew+3ffcDL+fkAhVB/Jk9unH1gD50T26uIL6RSjweZvy2nGd+/Y1tJaUAtIqL5Zahg7m6f1/inJGV0Fj7NTCF2PETm/R6FKx+eC2LS5e4WVJkcUSSwdN9XNj1GRKRMKJgXkQiimVZ3LDcw1cFJld2sHNVR2fd7QM0G1TfmfmYiy7GNeYPSkGXOhWWlXPXvPk8vuhX3D4TgJO6dOKGQQPITNVMvL+5fT5ez13B478sYUNRMQDpzeK57cgh/Klv74hIvw90dlK49GNDqcn5i9yUmHBdRweXdYisARsRiWy6exSRiPL2Nh9fFZg4DRiRcugbbsNmw5HVC+ew4TiyevktqK5cl1/nuVNSFcgLlmnizVmGZ95cvDnLsEyz6jnTsnj219/o8dxMpv60CLfPZFibdN46dSxPjRlBVssUBfIB4LLbubhXJt+efxb3HzOMNs3i2bq3hOs+/5oez83kxaU5+Pb7PYWb+tT0KJs1s9rfYqT2o0OcjZu7VQz6/me9l9zi8P29ikj00fCjiESM1SUmD6+p2Ibu+k4OMhKCFyRrmzapj7rSi39u35HrP/+aBVu3A9CteRL/N/QIxnbuhF1/N03Cabdxce9MzsvswUvLcpn+y69sKCrmjx99xsMLf+bBY4fzhy6dwm5AxZe7/JDbZVoF+fhyl+PI6hXx/Ti1lY0fdtloG2vQNT68fpciEt0UzItIRHCbFn/L81BmwrBkGxe1DX4arLZpk7ocLL3YLCigZNpU7umUwYLkVBKcTq7u34c/9e9NgrPuZSMSGC67ncv69uLCrJ48++tvPL5oCUt3FnDS7Pc4vkM7HjpuOIPT04LdzXqzCnf5tV2498MwDO7p6Qy7QRkREQXzIhIRpq/zkrvXItkB/+jhDJktubRNm9SmrvRiAzCB+zevwTFoEDdlD6JT86Qm7Z/ULs7h4Poj+jO+VyaP/LSImb8t56sNmxgy6w0m9M7k/mOOok1Cs2B385CM5BZ+bRfu/QCqBfIe02J1qUVGM12nRSS06SolImFvXanJrM0+AO7s7qSVKzQC+UqBWpcv4etQ6cU2oL3HzeMd2yiQD0EtYmP4x/ChfHP+mZzevQsAM39bTs/nXuLB+T/h9vmC3MO61bemhz0jMyr6sb98t8UlS9xcvsTNlvKA1YgWEfEL3VGKSNjrFGfj0Swnf2pv5/jU4KfXixxKfdOG7Xt2B7gn0hgdkhJ5YvTxzDnjZPq1TKXY4+Hmb76n9wsv88GqNcHu3kFV1vSoS1PU9AiVfuwvyQF2oMgHt+W58QVu0ycRkUZTMC8iEeGYFDvXdgrOeuK6qpGL1Ka+acNW8+TAdkT8YlB6az4461QePn44LeNiWVm4m1PeeZ+xb/2X3ILArvc+XM4h2cRNmlxjZtxISW2ybelCqR9V/bFVrJ+Pt8HPeyxe3BjaWRYiEt20z7yIhK2v8n1kJNhoExO8tPq6qpGrwJ3UxrQsnvx5MSMfn0q6x13rqLoFWC1aUPLP+0HLMsJKkdvNwwt+4YXfluM1TZw2G5OO6M8dw7JJinEFu3s1WKYZEjU9QqUfleZs93HnCg8OA17o66JPoj6HIhJ6FMyLSFhaXWJy0WI3DgNm9nPRJb7pb7QOVo28UjBmlSS0rdu9h0s//pwv1m/k1MJ8XlqXC1QUvatU+aVcdsXV+AYe0eR9FP9YtauQ2+f+yNcbNwPQOj6OB48dzoTemaqaHgYsy+KWPA+f7DTpEGvwan8XzRz6vYlIaNEwo4iEnf23oeubaKNTXNPfYNVVjbxS2ayZSrmXKq/m5NFvxqt8sX4jsXY7fU4cQ/FlV2IdkHJvtWihQD4CdGuRzCunnMiLfxhFp6REtpeUcslHn3Hca7NZtrPuvdUl+AzD4LZuTtJjYEOZxdS13mB3SUSkBm1NJyJhJxS2oTtUNXIAqyAfX+5yHFm9mqhXEor2lLu57vOveGlZxSx8/1apPHDsUfRpmYphGJQccQT2lSswdhdiNU/G171Hran1luUj372Qct8OYuytSHUNxjACX/AxWOeNFCd07shxHdrx5OKlTPt5Md9u2syAma/y1yEDue3IIcQ7g1PrQw4t0WFwTw8Xj67zMKGd/uZFJPQomBeRsPJDoY+XQmAbuvpWI69vO4lMP2zeykUffMzq3XuwGQZX9OvNjYMHVA/gbDZ8PTPqPM6W0k9YWngPZebWqsdiben0SZ5Cm7gxgep+0M4baVx2O5OO6M+47l3523fz+GL9Ju778SdezcnjPyeM4A9dOgW7i3IQRzS38WJfl5ZGiEhIUpq9iISNXR6L2/M8AJydHtxt6Opbjby+7SSymJbFvT8s4OhX32L17j20S2jGi2NHMeXIwQ2eid1S+gkLCyZVC6gBysxtLCyYxJbST/zZ9aCfN5J1SEpk5tgTeGbMCNLj41m7p4ixb8/h3Dn/Y3NxcbC7JwexfyC/tMjUdnUiEjIUzItI2Hhuo5edHugSZ3BD5+AmFtkzMmtspXQgIyUVe0ZmE/VIQsWOklLGvj2HKd/9gM+yGNulE++NO4VRHTvUa0mIZfnYWf4jm0reZ0fZPJYW/pN9ZfGqtQRg6e57sCz/bp9lWT6WFt7T5OeNBoZhcFLXznxzwZlc1icLu2HwZt5KMp+bxbSfFuFTnY2Q9fQGLxN+dWu7OhEJGQrmRSRsXN/JwUVt7NzX00mcPbgpj4bNRuz4iXW2iR0/IahbK0nT+2bDJgbMfJVP1q4n1m7nruFD+c/o40hrVr8dXbaUfsJnW0cyb+cEft51Iz/kX0KZuQ0Aw3LQcedduDzt9vsJizLfVvLdC/36OvLdC6vNyCeWDqX17gkBP280aeZ0ctfRR/LhmafQr2UqRR4Pf/7yW7JnvcFPW7cHu3tSi/QYAwt4coOXpUUadBGR4NNdpoiEjRibwV+7OslICI1Ll3NINnGTJteYoTdSUrUtXZQxLYv7flzIiDfeYXPxXro2T+L1U//ApX2ycNrrtxzkYGntlWxWLHGebrh86TWeK/ftaFT/D3W8WE834sv7BPy80ahPq5a8f+Yp3D18KIlOJz9v30H2y29ww5ffstftCXb3ZD+ntrIxpqUNrwV/y/Ow16t0exEJLhXAE5GQ5jYt/rvNx5npduwhWIDIOSQbx6DBFdXtC3dhJLeoSMHXjHzU2FVWxvgPPuHDNesAOLVbZ+45+khS4+LqfYy609oPLcbe6rB+rrHH8/d5o5XdZuPSvr04pVtnbvv2Bz5Ys46pPy3i7bxVPHnC8Yzt2jnYXRT2bVf3a1E5G8osHlzj5R89tBuBiASP7jZFJKRNX+fl3tVe/m956M5QGTYbjqxeOIcNx5HVK6oDecs08eYswzNvLt6cZVgRvv530fYdDHrpdT5cs44Yu527hmczfeSxDQrkoWZae/OS40koHVKPnzSItaeT6hrcwJ7XLdU1mFhbOnCwAbTAnDfatY6P5+kTR/LiH0bRplk864uKOGn2e1zw3kds31sS7O4JFdvV/bOHCxswZ7uPT3Zq/byIBI9m5kUkZO2/Dd2prbXHb6jzLJhP2awZWAUFVY8ZKSnEjp8YkUsOZv6Ww5WffkmZ10f7hAQeHXkMQ9ukHdYWVgemqyeWHoXPVkhx3II6fqriPH2aT/H7vu+GYadP8hQWFkyiZkAfuPNKhRM6d+Sodm2478efmPHbcl7LXcHHa9fz8PFHc0mfLG2TFmSDmtu4tL2dZzf6uHulh8HNbaQ49TsRkaYXvdNHIhLS8t0Wt/2+Dd05Qd6GTg7Ns2A+pdOmVgvkAayCAkqnTcWzYH6QeuZ/bp+Paz/7ion/+4wyr49j2rflv2ecxJFt0w87yDqcdPVYexqDU6YFbL/3NnFjGJwyjVhbWpOeVyo0czr559FHMmfcyWSmtGBXeTmXfvw5I994hxW7CoPdvah3RQcH2c1t/F9XpwJ5EQkazcyLSMgxLYs7VnjI90D3+OBvQyd1s0yTslkz6mxTNmsmjkGDw34Jwva9JZw150O+27QFA7i6f1/+OmQgMY7GDTZVprVXVK6vbd28gctoDUDXZn+kWYs/k+oaHPCZ8TZxY0iPHcWG8p8o95gMazmzSc4r+wxs3YqPzjqNJxcv4ZGfFvPVhk30ffEVbh82hJuGHIGrngUWxb+cNoMnezuVJSEiQRXed1UiEpFe2uTj+0KTWBvcn+EkNsjb0EndfLnLa8zIH8gqyMeXu7yJehQYi7fvYMisN/hu0xYSnE6mjzqOW48c1OhAHvaltf/+rwOfBSCr+Q0ApMYMpmXM0CYLqA3DTpy9DU5bgt/Pa1k+dpb/yKaS99lZ/qP2rT8Ip93G9Uf05/Nzz2B42zaU+3zc9t0PHDHzNX7YXPvuBxJ4+wfyhR6LnOLIrhEiIqFHwbyIhJQ9XotnN3oBuKmLg27xukyFOqtwl1/bhaLZeSs56pW3WF9URKekRN449UTO6NEVmx9n5Q6V1p4ee7zfzhUKtpR+wmdbRzJv5wR+3nUj83ZO4LOtI9lS+kmwuxayOjdP4vVTT+SREcfQIiaG3/ILOOqVN7nus6/YU+4Odvei1qoSk/MWlTNpmZsCj7arE5Gmo7tkEQkpSQ6DF/q6+GM7O+PS/D/z2JTV1qOlsruR3MKv7UKJZVncPW8+Z835HyVeL8PapjP79LH0bx2YLdnaxI1hdPoXNHf2ooXrCIa1nMnotC8ibn36ltJPWFgwqVoFf4AycxsLCyYpoK+DYRick9Gdb84/k3E9umIBjy9aQtYLs/jvytXB7l5Uahtj0MxusNMDf1/hwbIU0ItI09BCVBEJOd2b2ZjUzP9jjU1ZbT2aKrvbMzIxUlLqTLU3UlKxZ2Q2Ya8ar8Tj4ZL/fcabeSsBGJ+Vwd+PyibOGdivTsOw47Ql4XCk0jKma0DPFQyW5WNp4T3UXhvAAgyW7r6H9NhRWptfh5S4WKaPOo5zenbn5m++Z0NRMWe8+wFn9ujGY6OOpW1CQrC7GDXi7Ab3Zzi5eLGbb3eZvLLFx0VtdYstIoGnmXkRCQmf7vSxeE/gZq6bstp6NFV2BzBsNmLHT6yzTez4CWFV/G7DniKOfvVt3sxbidNm4+/Dsrnv2GEBD+SjQb57YbUZ+ZTiU0kr/NN+LSzKfFvJdy9s+s6FoeM6tOPL88ZxZf/e2A2D2StW0ev5l3lq8VJMzRDXyZ/ZUz2b2bihS8X14ZG1Xq2fF5EmobsSEQm61SUmd6zw4DHhub4u+if5N+gLRLV1yzQrCr8V7sJIblExO22zRVVl9/05h2TDpMm1ZCOkEjt+QlhlI8zbvIVx737ItpISUmJjeGTEMYzs2F5Vq/2k3Lej2r9d3jY4vemHbCcHF+dwcMewbM7s0Y2/fvUdS3YWcNWnXzLzt+U8M2YkvVqmVLU92LUr2gQie+rcdDs/Fpp8WWByS66HV/q7aObQdUNEAkfBvIgEVblpcUuuhzITspvb6Jvo/xufhlRbd2T1OuTx6roJNBIS/HqucOIcko1j0OCwDhRm/pbD5Z98gdtnktEimSdPOJ6eKeG31j+UxdjrV2+gvu1knz4tU/ngzFN5dskyHlrwC99v3sKAma9y69BB/G3oEGy//BQ1y3/qUpk9daDK7CkmTT6s98MwDO7s7iRnUTnryyye2uDlhi5Of3RZRKRWCuZFJKimrvWyosSihRP+2dPp1+rglfxZbf1QN4HOE8f6tU/hxrDZwnKQwrIsbp/7A/f8UJHaPapje6aOOJrUuLgg9yzypLoGE2tLp8zcRu3r5g1i7WmkugY3ddcigt1m48r+fTi5Sydu/nYeX23YxF3zFrDtu295YOnPNTY+bEwAG46z/KbXS+kLz9bZpjHZU82dBvdmuHh9i5fLO+g2W0QCS1cZEQmaL/N9vL6lYl/pu3o4aeUKTDqiv6qt1yeF3vP9XL/2SQKv3Ovj0o8/45WcPAAu79ubW4f6Z/94qckw7PRJnsLCgklQI7Ss+Hef5lNU/K6R2iclMuukE/jvyjX8/bsf+PMvC38vL1i7hgaw4Vjk07NgPmUvPAtFRXW2a2z21MAkGwOTXIf1syIiDRHaw6ciErG2lVvcnVfOgE3LuXPnfI7cmhuwrdsqq63XpT7V1uuTrk/RHozExEafS5pGQWkZY956l1dy8nAYBncNH8rtwwYrkA+wNnFjGJwyjVhbWrXHY+1pDE6ZFnFb8QWLYRic0aMr84b0pZ3HXedNX2UAWx/hWOSzqs+HCOQr+St7yrIsPtrhw22qGKGI+J9m5kUkKBZ8MY+n/zuL1nsrbphKCNysTmW19drS4yvVp9p6fW/unEcdjfvj/zXqXBJ4qwt3c9LsOeQWFJLgdPLIiGP4Q5eOYVfozrJ85LsXUu7bQYy9FamuwWExq90mbgzpsaNYV/IT3jIvw1rODIu+h+P7nVhaUq929bnG1SdDqfSlGSFV5LM+fT6Qv7Kn/rnKy+xtPi5qY+evXbV+XkT8S8G8iDQ5z4L5HPvKYzVWyza2+FBd/FFtvb43d45Bg7FnZEZEZfdINX/LVk595322l5TSplk8T55wPIPT0w79gyFmS+knLC28p9pWb7G2dPokTwmL2W3DsBNra4XbXk7LmNDPVgnX99tqnlyvdvW5xtUrQ2lXAeX/fYfYcWfV67yBVq8+78ef2VPHptiYvc3Hy1t8DG5u4/jU0B74EZHwomBeRJrU/jMk/lq7WV+NrbZema5f101h5U2gYbOFfWX3SGBaPraW/kiJdzvxjtakxw1lzsq1XPjBJ5R6vWSltOCZMSPoktw82F1tsC2ln/y+7rz6sFiZuY2FBZOUru5n4fx++7r3wExugVG4q9brrgnsjIljd/MUBh3iWPXNUHLPfgt7+w4hMXjZ0JR5f2ZPHZdi56I2Ji9v8XHnSg+vNrPRNja8sn9EJHTprlJEmsz2cosZXyyt99ZtgVBZbd05bDiOrF4NumGrTNevy/43gY05lzTe6qIPeWX1UN7bcA6fb7mW9zacw9PLj+CuH6dS6vVyTPu2vH7qiWEZyFuWj6WF91AVWFpGxf8q/gHA0t33YFm+oPQv0tR4v6s/C4T4+22zUX7u+UDNV1D57xvSOzLklTe55tOv2FVWdtBDNST9vGzWzIDVQmmIevc5MYm4AGSG/bmzg94JBnu8cEueG4/Wz4uIn+jOUkSahM+ymJLnYenG+qU6hurWbc4h2cRNmlyjoJ6RkhqQm0A5PKuLPuTTzVew17ul+hPGTq4Y/A7XHrGbF04cFbZbz+W7F1ZL9W5ZdC5tCyft18KizLeVfPfCpu9cBDrw/W5eMoLUorP3axH677dv4BGUXXE11gGBrdWiBdsnXgqDBmEB/1m8hIznXmLG0hwsq2bQWZ+ColXHDuDAbEPUqwhqUhIJ0x4PyDXcaTN4IMNJoh2WFFlMX+f1+zlEJDopzV5EmsTTG7ws3GMyNCG5Xu1Deeu2xqbrS2CZlo/vt99BbbOohgGWBUM6vEOs4/oaz4dLcbNy345q/3aYzbH7amYYHNhODs+B72OcuwdObzr5iXW3CzW+gUdQ0n8A9pUrMHYXYjVPxte9Bwk2G08CF2Vt4m/f/sDq3Xu45KPPeGbJbzwx+nj6tWpZdYz6FBTdXygMzNarCOoll2FzBO62uF2sjX/0cHLDcg+vbPFxThs77WP1nSEijaNgXkQC7odCH89sqEg/Pe3o3hjf1m/deSirTKGX0LO19MdqM/IuTzscZjIlMb8BFQF9mVkxi9oyZmhVu3AqbhZjb+XXdlK3iHq/bTZ8PTNqfeqY9u34/NwzeGrxUh79+VfmbtrCETNf47qB/bhr+JEkxVTsne4cko3vzLNxz37rkKcLlYFZfxRBbawRqXau6WgxKMmmQF5E/ELBvIgE1A53RXq9BZyZZuekdCceP2wTJ3IwJd7t1f6dXDKaOHcP1rW6rdrj+8+ihltxs1TXYGJt6ZSZ26h9HbdBrD2NVNfgpu5aRIqm99tlt3P9Ef05s0c3bp/7Ix+vXc+jPy/m9dwV/Pv4Yzg/sweGYRBz+jg8X36BtSt8BmZDIavq8g669RYR/9HdsogEjM+y+FuuhwIP9Ig3uKlLxU2M1p1LIMU7Wh/wiEFteydUzqKGY3Ezw7DTJ3lK5b8OfBaAPs2nhOQSgXAUje93u8QEnv/DKF4aO5pOSYls3VvChR98zIjX32Hx9h0VqesX178gaKgIpcKkq0tMXtms9fMicvg0PCgiAbO5zGJtqUmcDR7McBJr33cTHAozJBKZVhd0oLAsieYxezBq3QGq+izqgcXNXJ52uB2b9ovZ9hU32z8tP9jaxI1hcMq03wci9om1p9GneegtDQh30fp+j+zUgS/bt2X6z7/y+KIlfL1xE0e89DqX9+vN3cOPJDnIqeuhzjLNWr/ntpdbjF/sptSE9rEGx6ZEzkCQiDQdBfMiEjAd4my8PiCGvBKTzvE1g3StOxd/m7NyNee9/xGZLUdx5eB3qM8s6v7p9nZfMp133s/61Dspc62u9pOhWNysTdwY0mNHsa7kJ7xlXoa1nBmyRfsiQbS+3zF2OzcOGci5Gd35x7wF/G/NOp5avJTXcvL4+/ChXPOvR7CtXKGB2QN4FsyvZaAjhdjxE2k9JJsz0uy8usXHHSs8vDrARpsY7T8vIg2jK62I+N3+2xmluAyOTI7sG10JDc/++hvj/vshZV4fzR0jyEp8mFhbWrU2sfa0Guvf9y9aZrOcGNiwWbE1jh+qxc0Mw06srRUuewotY4ZGfGAZbNH8fndISuTZE0fy5qknkpnSgt1uN5O//JZ+L73GZ7HNQiJ1PVR4FsyndNrUGsVerYICSqdNxbNgPn/p7KBXgsFuL9ySq/3nRaThdLUVEb/yWRaTl3v4347QWV8skc2yLO6eN5/LP/kC07IY16Mrz544kh7NT2F0+hekx44i3tGOYS1nMjrtixrp0JXFzWpbV1/BINaeHhHFzaRpWJaPneU/sqnkfXaW/xhS9Rb84ah2bfnk7NO495gjSYmNIbegkLFvz+Gkt+eQWxD8reiCzTJNymbNqLNN2ayZOLF4IMNJgh1+LbJ4Yr3Wz4tIwyiYFxG/emaDl68LTO5e6WGnW7MMgWKZJt6cZXjmzcWbswzLNIPdpaDwmSbXfvY1d8z9EYDL+/Zm6vFHE+90Ar/PotrTcBpJB51FjcbiZhI4W0o/4bOtI5m3cwI/77qReTsn8NnWkWwp/STYXfMru83GxN5ZzL3gbC7r0wuHYfC/Nevo8+Ir3PDltxSWlQe7i0Hjy11e5/arAFZBPr7c5bSPtfH3HhXXqxc3+fi2ILIGfkQksBTMi4jffL/Lx9O/7yd/WzcnLV1a/xcIngXzKZ58PSX33k3pE9Mpufduiidfj2fB/GB3rUmVe32c995H/GfxEgzg1uxB3D5sME57w4PuyuJmMbaW1R6vLS1f5GAqtzjcv6Ai7NviMNICeoCkGBd3HT2Uz889g+M6tMVrmkz9aRHdnp3BIz8totwbfcGpVVi/7ITKdqNS7VzQpuK69c626Hu/ROTwKZgXEb/YUn7AfvKtNYsZCPVZhxkNit1uTnnnPd5esQqXzcZDxx3NNQP7Ym/EWt02cWMY3uplAHokXs2RqS8yIPl+TMsdkanS4l/huMWhP3VvkcwrJ5/IzLGj6ZbcnIKyciZ/+S2Zz8/i9eV51WqpRDojuUWD2/2ls4Obujh4MNMZqG6JSARSNXsRaTS3afF/y90UeiGrmcH/ddWlJRDquw7TMWhwRBegKigt46TZc/hxyzbiHQ6mjTyWP3TpiFH7PnQN83sqvYGDRbtuqTbDGmtLp09y5G5BFm0sy0e+eyHlvh3E2Fs1uip9tS0OLUgsO5Ki2B/BqAxiQ3OLQ38b1akDx3Vox8s5ufx74SLW7tnD+e9/zL8W/MK/jj+a4zq0C3YXA86ekYmRklJnqr2Rkoo9I7Pq3y6bwYVt9d0pIg0TuXd7ItJk/r3Gy9JiiyQHPJTpJMam9PpAaMg6zEi1ubiY416fzY9bttHc5eK5P4z0XyC/n7yi6RGfKh3pRdrqEoh17ftvXej0pdG28HpiPd3qbBepHL+vp5934dn8ZVB/4h0OFm7bzvGvz+aU2e+xbGfd17FwZ9hsxI6fWGeb2PETDjro6jEtHljt4b3t0fOZFJHDoyFAEWkUy7KIt1eUCftnDyftYsN3jNAyzYqAOUT3Sm7oOsxIs6pwNye8+S5rdu+hdVwcz5w4ksHprf17kqqA9mCp0gZLd99DeuyosC6It6X0E5YW3hOVmQeV69oP/B1XDtYcbo2E/bcuNH6fKzFqmTM53C0O/Z1J0BTinU5uGnIEE3tl8tDCX3h9+Qo+WL2W/61Zx6V9srhr+JG0SWgW7G4GhHNINkyaXMs+86nEjp9Q8fxBzNnu47UtPmJtPjKaGfRsFjrfQyISWhTMi0ijGIbBpM5OTmttp3N8+N5weBbMr+WmK4XY8RPrvOlqSoezDjNSLNmxkzFv/Zete0vomJjAC2NHk5ni/9e5y7ME+D1AsqBl0bkUxn+B17GTygfDPVU6UMFsQ+wfmHrM1tisxICeb//z1r2u/fAHayq3OCwztx2khUGsPe2wtjgM98GX1s3ieei44VzRrzf3/LCQT9dt4Nkly3glJ49JR/Tn/7KPoEVsbLC76XfOIdk4Bg1u8CDxGWl2vsg3+b7Q5K/LPbzc30WiQxlvIlJT+N55i0hQlfos3Oa+G+JwD+TDoahc5TrMuhy4DjMSzNu8hWNfm83WvSX0bJHMq6eMCUggD+D27f83YCd17+nEu7NqtAvXVOlQKNJ2YIr7jrJvKfQsbZLlC9XWtQN2XzIt95y339uxb7CmoQK1xWEkVcjv0SKZF8eO5u3TxjKgVUtKvF7un/8TXZ6ewT/nLaDI7Q52F/3OsNlwZPXCOWw4jqxe9cr2shsG/+zpJN0FG8os/r7SE1UFBEWk/sL37ltEgsayLP6+wsNlS9xsKQ/vG4z6FpULhX3cG7sOMxx9snY9o994l8Lycga0asmrp4yhc/PmATufy173YEmlw02VDrYDg9m03ZeSUnzKfi0OP5itj4MFpqblbpLA9MBBmHh3Jql7T8OwYutsV1+VWxy6DP9scRgKgy+BcGTbdN4/8xSeHTOCni2S2e12c/vcH+j2zAymLvyFMq832F0MuhZOg4cyXTgM+CLf5KXN4fU7FpGmETl3fCLSZF7d4uOTfJPley22h3kwH25F5ZxDsombNLnGDL2RkkrcpMkhsyTAH97KXckps9+jxOtleNs2zDr5BNKbBXZ9bQtn39//62AprQax9vTDSpUOBQcGqTGeDri8bQ7Zzh/qDkwrBDowre8gTGMGa9rEjeGoVi8C0DPxOoa1nMnotC8OKx2+eoV8O123PUasu8d+LQI7+BJIhmEwtmtnPj/3DB4dcQwdExPYUVrGDV99R/dnZ/LU4qV4fNEdwPZJtHFTl4oVsdPWevlpd/AHlUUktGjNvIg0yKI9JlPXVsya3NDZQf+k8B4TDMeicoe7DrNSqBf6A3j219+48tMvMS2LMZ078tjIY0hwuQJ/4mop0P5LlW4Iy/LhMffg9paxs3yHXwudNUUwezAHZgVgQby7F/s/EOh6BNXXtdc2qHD469qrH6Xi89Qq5ijiYg6/HsD+gyqG5cRppuD0pVLGioO2Czc2w+DsjO6c3r0rry7P49GfF7OpeC9XffolD8z/ibuGD+WCzJ7YQ+wa1VTOSbezuMjkmwKTvb7wHjwXEf9TMC8i9Vbgtvi/XDdeC05saeP8NqFdSbk+wrWoXOU6zIYKh0J/D83/mf/7Zi4AZ/XoxkPHHUWMo2m/rnomXsdyz93VHou1p9GneWALjlUWOmvpuRSfr5BlO5+oKnTW2jGi0cdvqmC2NjWyAryd6FAwhaKY+XW286fKde0VBQCDM1jTEMEcfGlqTruNCb0zOTejOy8uzeHxRUtYs3sPF3/4Kff+sJA7jsrmnJ7doy6oNwyD27o52dHBomNcdL12ETk0XRVEpF58lsWteR52uKFLnMEd3Z1+39s7GKKpqFyoF/qzLItbv/m+KpC/tE8v/n388CYP5AFSYwYzKv1TADo1O79RqdL1dahCZ1vLvmr0OQJVpK0+Dgw4DavyHLY62/lb5br2WFtatccPd117IFUOvkTqso/axDocXDWgLz9edA43Dh5AostJTsEuLnj/Y/q8+Aqv5OTiC4EaJk0pzm5UC+T3ejVDLyIVFMyLSL08u8HH/N0mcTZ4KNNJvD38A3mInqJyoV7oz2eaXPXpl9w//ycAJg/qz9+PGoLDHrwZ0spU6RauAbSMGRrw1PpDFTpbvmeqX84VrGA2lALTNnFjGJ3+BT0SrwVgaOrTAR+sORzBHHwJtninkxsGD+THi87hz0f0J9HlZHnBLi764BN6vfAys5YtxxtlQT3AD4U+Tvu5nC/yo7uegIhUCO+7UxFpMie1stEjvmJGvlsYb0NXm2goKhfKhf7cPh8XfvAxT//6GwZw57Bsbhg8MKrSaWuuJzewm0n7tbAoP+j+5Q1XGcwmOnuQGpPdJJkHdQemFZoyMDUMO0nO7kBFJkaoBsT7Bl9aV3s8FDMJAqF5TAz/l30E8y86l8mD+pPkcpG3q5CLP/yUrOdnMfO3nKgK6ufuMinwwB0rPKwuiZ7XLSK105p5EamXDnE2Xu7vwmmLjBn5AzW2qFyoC9VCf3vdHs6a8yEfr12P02bj/mOP4ryM7hGxhKMhDlwnbrcSiPF0wLCcWIYnIOc0DDsOIwGXvSUtY7oE5BwHqgxMK7IQ9rEZrqgITA9Xm7gxtE47nlVbfqVLs4tplnKNXwsjhoOkGBd/HXIEV/bvw9OLf+O5pctYWbibif/7jLvnLWDKkUMY3ysDR4Rcsw9mUicHy4stFu4xuSHHw0v9XSQ6out6KSL7RPYVT0Qapchr8UPhvlS+SA3kK1UWlXMOG44jq1fEBPIQmoX+dpWVMeat//Lx2vXEORxMH3VsSAXyFhWzXrvci9hZ/mPTbplmGRgYYEXO32ClyqyAvsl/B6CF6wiSnX0UyB9CZeCeEnNEwJd9hLJEl4sbhwxk/kXn8tfBA0mOiWFl4W7++NFnZDz3Es8vWRbRW9o5bQYPZDhJd8G6Movb8jyYltbQi0SryLtLEBG/8FkWf8vzcM1vHt7Y4g12d6SRQq3Q39a9ezn+9dl8v3kLSS4Xz504glO6dQmZQD6/fCGfbz0BgHV7X2Pezgl8tnUkW0o/Ccj56rOePOaANe7hzDDsNHf2BiDG1gJC5Pcu4SPB5WTy4AHMH38ON2cfQUpsDKt37+Gyjz+n53OzePbX33BHaFCf4jJ4OMuFy4Bvdpk8syEyX6eIHJqCeRGp1ZPrvXy3y8Rlg76JulSEu1Aq9LemcDdHv/o2v+7Ip1VcLDPHjua4Du0Dft6GyCua/vv2bftUVpUPREBfn0JnmUmT/X5ekXDXzOlk0hH9+fGic7glexApsTGs3bOHyz/5gh7PvsRTi5dS7o28YLdXgo3bujsBeHKDt1oWnYhED92hi0gNX+T7eHZjxY3Bbd2cZCXoUhEJQqHQ32878zn6tbdZVbib9gkJvHLyiQxpE0IzzlWp9AevKr909z0BSbk/VJX59Njj/X5OkUgR73Ry/RH9mH/RuUwZOoiWcbGsLyriqk+/pNuzM3js58WUeiIry+zU1nbOb2Pn5FY2BmjQXSQqqQCeiFSzusTk9ryKglsXtrFzSuvoXJfpD5ZphlxBvWAW+vtxy1ZOevs9CsrK6J7cnBf/MIouyc0Dft6G2OVZAlT/m08pPo098d/+/i+LMt9W8t0LaRkz1O/nbxM3hvTYUaza+TOmD4a2fIaWsRWFznyewBTCE4kkcU4H1wzsxx/79mLG0hye+vU3NhXvZdIX33DPDwv465AjuKp/HxJcrmB31S/+2sWBDUJmiZKINC0F8yJSpchrcUOOhxITBifZ+EtnXSIOl2fBfMpmzai2HZyRkkLs+IlB3+qustBfU/p83QZOf/cD9no89GuZyvN/GEWbhGZN2of6cPsKgOrF6Fy+9BrtDqw+70+GYcduxGFSFnUVy0X8Jc7h4KoBfflj3168vCyX/yxayua9e7np67nc/+NP3DB4ANcN7E9STGCD+kAP6tr3C+JNy+LjnSYntrRhU3AvEhV0py4iVf63w8e6Mot0FzyQ4Yz46vWB4lkwn9JpU2s8bhUUVDweIXvX19c7K1Zx/vsf4faZDGuTzlNjjic1Li7Y3aqVy55CaT3a1ag+LyIhKcZu59K+vbi4VyZv5K5g+i+/sr6omCnf/cBDC35m0hH9+cugAbSIjfX7uZtyUNeyLG7J9fBpvsmGMgdXdNAtvkg00AIbEalybhsHt3Vz8K9MFykuBfKHwzJNymbNqLNN2ayZWKbZRD0KrheWLOPsOf/D7TMZ3bEDz48dFbKBPEALZ9/f/+vgVeVj7emkugY3VZdE5DBZlo+d5T+yqeR9dnsXcGFWd7694CweGXEMXZsnUVju5q55C+j01Ivc8s1cdpTUZyivfioHdfcP5GHfoK5nwXy/nQsq0uyHt6i4rX9yvZdvClQQTyQaKJgXkWrOSnfQW4V0Dpsvd3mNm7cDWQX5+HKXN1GPguffC3/h0o8/x7QsxvXoyn9OOI6kUF+nWi2lvfaq8n2aT1Hqu0iI21L6CZ9tHcm8nRP4edeNVdtL7ij/jHMyuvP1+Wfy+Kjj6NkimSKPhwfm/0znp1/khi+/ZUvx3kadO1iDuqenOTg33Y4FTMnzsK40OgaNRaKZ7thFotyaEpOblrvZ7amterc0lFW4y6/twpFlWUz5dh43fvUdABN7ZfLv444m3ukMcs/qr2fidcTaWld7rLKqfJu4MUHqlYjUx5bST1hYMIkyc2u1x/ffXtJmGJzRoyufn3sGz44ZQZ+WKZR4vUz9aRFdnpnBtZ99xYY9RYd1/mAO6v61i4OBSQbFPpic46HYq+92kUimYF4kiu32WPw5x8Nn+SYPrVGlbH8wklv4tV248ZkmV3/2Fff+uBCAPx/Rn38Mz8blCK+Z7NSYwYxK/xQAA4NhLWcyOu0LBfIiIc6yfCwtvIf6bi9pMwzGdu3MR2edxsyxoxnYuiXlPh9PLFpCt2dncvnHn7O6cHfD+hDEQV2nzeDBDBetXLCm1GJKngefpYBeJFIpmBeJUh7T4v9yPWwos2gTAzd0Dp9Z01Bmz8issY/7gYyUVOwZmU3Uo6bj9vm48IOPeWrxUgzgjmFDuHHwAJz28ArkKxlVX5EGLWOGKrVeJAzkuxdWm5FP3juKlnvO26/Fvu0l92cYBqM6deC9cafw6sljyE5Pw2OaPLtkGT2fe4mJ//uU3IL6Bd/BHtRt6TKYmukixgY/FJrk7VUwLxKpFMyLRKmH13iZv9skzgaPZKngnb8YNhux4yfW2SZ2/ISg7zfvb3vdHk57533eyF2J02bjoeOGc3m/3tgj7HWKSGg7cNvIWE834t01B08Ptr2kYRgc26Ed75xxEm+fNpaj27XBZ1nM/G05vV54mfPf+4ilO/Lr7EMoDOr2TrRxT08nz/V1kZWg67BIpNKnWyQKvbHFy+tbfRjAPT2d9GymS4E/OYdkEzdpco2bOSMllbgI3JauoLSME956l4/XrifO4WD6qGM5P7OH9jkWkSZX320j69PuyLbpvH7qH5gz7mRGdGiHaVm8nruCvjNe4cz/fsAv2w4yIBAig7qjUu302a+graV0e5GIo00oRaLM/EIfD672AnBtJwcjUpU6HAjOIdk4Bg2uKIRUuAsjuUXFbE2EzVRvKd7LmLf+y9Kd+TR3uXhi9PEc16EthgJ5EQmCVNdgYm3plJnbqH3dvEGsPa1B20sOSmvNrJPHsGTHTqb+tJiP167nnRWreWfFak7u2pl/HDWUQenVC2Y6h2TDpMm17DOfSuz4CU0+qJtTbHL3Sg8PZ7loE6Prs0ikUDAvEmVSnAZpMQYDkgwubRf5gbxlmkELqA2bDUdWryY5VzCsKtzNCW++y5rde2gdF8czJ45gcHpasLslIlHMMOz0SZ7CwoJJ+Ht7yb6tWvL8H0aRk1/AIz8t5sM16/hg9Vo+WL2WM7p35a7hQ+nbqmVV+1AZ1LUsiwdWe8jZa/GXHDcv9HURb1dALxIJFMyLRJnuzWzM6u8i3k7Ez556FsyvZVYkhdjxEyMu1b2p/bpjJye+9V+27i2hY2ICz/9hFFmpda8RFRFpCm3ixjA4ZdrvVe33ibWn0af5lEbvSpGVmsJTY0awclchDy9cxHur1vDuytX8d+VqzsnowT+Oyibz9+thKAzqGobBfRkuxi8uJ2+vxe15Hh7KdGoplEgEiKx8TxGplc+yyN1rVv27hdMgxhbZX+KeBfMpnTa1xl6/VkEBpdOm4lkwP0g9C39zN23muNdms3VvCRktknn1lBMVyItISGkTN4bR6V/QKvYYmjk6B2R7ye4tkvnPCcfz2bln8IfOHbGAN3JX0PvFV5jw4SesauCWdoHUJsbg4UwXTgO+KDD5z3pvsLskIn6gYF4kCkxd62X8YjdztvsadRzLNPHmLMMzby7enGVYpnnoHwoCyzQpmzWjzjZls2aGbP/rEuzfwUdr1nHCm/+lsLycI1q34pWTx9C5eVKT9iEYdpb/yKaS99lZ/mPV/tQiEtoMw06srRUuW4uAbi+ZmdKC5/4wio/OOpWRHdtjWhYvLcsl8/lZXP7x56zfUxSQ8zbUgCQbt3ev2Ib22Y0+/rdD1zKRcKc0e5EI9842Ly9vrvjCjmvE8F04paz7cpfXmJE/kFWQjy93edDTHxsi2L+D15bncfGHn+I1TY5p15YnTjiOlNjYgJ832Cz+n727DpOkOB84/q3u0XWZtXN34Zw7nIPDIUA8BELcICFCkh/xhHhCQjxEcAsEt8Pd7o5zd1v33fHu/v0xO7s7q7N3uyO77+d5eLjtrZmpne6p6bfqrSqTN2uubP/ZpZUyJ+/4U3WFEMPL3CIPd5x/Nusqq/nVO2t59Ug5/9y0ldu3bOcz82bz/eVLKc7MSGodLyrW2es1ufWIwY92h5jgVrJ1nRBpTD69QgxjaxtNfrYnkkr3+bE2zvYc26hEuqWsWw31g1ouFST7HPx1/SY++vgzhE2T8yaO55Zzzhj2gXy5/7kej/vNStbUXUu5b3WCaySESAcLS4q496JzefDi81hWWkLQNPnz+k1M/uft/PiNd2gNhpJavy+Pt3FqvsaSXI2xruE95U6I4U6CeSGGqcN+k29sDxK2YFWhxmfHHlsgn44p6yov/5jLJTuNvSfJPAeWZfHTN9/li8+9hAV8aMZU/rTyVLIdjkF/raFjEba8A0qTtyyTLQ0/7/X5ADY33jiEKfeR1zjqe1pS+4VIUyeOKuV/7zufuy9YxezCAlpCIX7wxttM/uft/H3DZsJJ+n7RleIX0+38fqadLJsE80KkM0mzF2IYagxZXLM1REMYZmYqfjjVfswr16djyro+fQaqoKDPequCQvTpM2KOJTuNvTfJOgeGafKVF17hz+s3AfC5eXP4zrKF2PX02dKw3Leao95t2MOj2Vp/AxBfmnxTeEfbPtURupFNRnA2ze632o5Y+I0KaoNr8DiXDXqdW0MBHJSxvv47WFoAl1bKrKzvAvF1VAkhUsdpY0dzyphRPLRrL79+dx2Hmlv4/LMv8rs17/GLU1fwvimTEr67jLvT1nSWZfFcrcmZhRq6rHAvRFqRkXkhhqGHKg32+yxKHfD7mY6YL+2BSseUdaVpuK64qs8yriuujNnrN9lp7H1Jxjnwh8N8+PFn+PP6TSjg20sXccOJi9IukF9Tdy1hyxtzPJ40+ZAZuwp1VmAxZQ1f7FYuYFQPTmXbROtsErvStN+sZEPDdwb1tYQQiaMpxeXTJvPKhy/jB8uXkO90srO+gcseeZKT7n6A148c7fWxQ50x9qt9Ya7fEeK3+2SFeyHSjYzMCzEMXTVaJ2TB6QUaxc7j62U/npT1ZLIvWQrXXtfDSHshriuujBlpjzeN3bZocUwHQKIk+hw0BgJc8tATvHz4CA5N48ZTlvPhGVPTak9iyzLa9pi2evotoNjceCOlrpU9rnBt13K7PEQB3f9+p140GNWNvES/dY7+K/lTP4QQx8ah63x2/hw+MnMaf1y3kX9t2sqb5RWcfM+DXDx5Ir867SSmF3S05YnIGFuQo3FvucE95QZjXIqPjpLwQIh0IZ9WIYYRy7JQSqGU4jNjB+fjfawp60PBMs1IynlDPSovP1K3PoJr+5Kl2BYt7vcxqT6VIJHn4GhLC+c9+Cgbq2vJstv5w5mncM6EcQlPAT1etcE1+M2K9p81y01GYC5e56a2I32nyefYpuPSSvp4BYVLL6HQsXhI6qyIdDA4wmUEHPvb6wzQHNpNNoWD9rpCiMTLdjj4vxMXc/Wcmfz63XU8sHMPj+7Zx5P7DnDNgnn8YMVSMjZuwHfzTd0eG80Y49rrBiWgX+XROeK3uPlAmN/sC1PmVJxRmD5ZWEKMZJJmL8Qw8WhlmG/sCOEzehrVO3bHkrI+FELvvkPLddfg/dlP8P3lT3h/9hNarrum3/R3pWnYZs7CvvwkbDNn9VjPVJ9KkKhzsKOunhV3P8DG6lqK3G5uPe+stAzkoXv6u25mk9e6st9yUUppzM7rLa098n7Myb1hUPet7lwX1fYaupndrVzIbBq01xRCJFdZVia/O+MUnv/AJZwxdjRh0+SmteuZdstt1P77n30+djAXPv3EaJ3LS3Qs4P92htjSLBlAQqQDCeaFGAbebjD4yZ4wL9SaPFY1+Kte25csxX3tdaiCgpjjqqAQ9yCNDPRlqOezp8NUgqE+B2+XV3DSPQ9woKmZ8TnZ3HPhKpaPKk3LQB7iT3/vq1yZ66wej7v0EhYX3Dzo+8zHW2e7ljOoryuESL6pBfncecEqbj/vLCbl5jCtpoqMluY+HxPNGBsMSim+PdnGijwNvwlf2RbkqF8CeiFSnaTZC5Hm9nhNvrE9RNiCcz0a7y8dmtS4eFPWB1si5rOn0lSCvgzVOXhq737e/+hTeMNh5ngKuGXVmYzL6T4inE4KHYtxaaUxK9LHij9NXqExKetqvE2K5Z7bKXQsHtQR+ah46gyQbZ8y6K8thEgNK8eP5dQxo3n9of/Bni39lh/MjDGbUvxqup1Pbg6yp9ViU7PFKNegPb0QYgjIyLwQaawmaPHlrUFaDFiQo/jRVPuQLlIWT8r6YBvIfPZjlSpTCeIx2Ofgts3buOihx/GGw5w0qoy7LliV9oE8gFI6c/Ju6O23wMDS5LPsEwGFx7lsSAJ56Frnrp9j1elfyb8OhRBDx65rrJw3N66yg50xlmlT3DzTwR9n2TmnSObNC5Hq5I5AiDTlMyy+si1IRQDGuRS/m+HAoaVnSnRfEjWfPdlTCRLNsix+/vYaPvH0cxiWxYWTJvCvc8/E43Ynu2qDpsy9isUFN2NTGTHHhypNfjBE6xxdAC/KpZcwP+/nSaqVECLRjClTMfPye9zbAtr25BiijLESp2J5fkcb1BK2sKzBXY9HCDE4JM1eiDT1w90htrZY5Nngj7Ps5NmHPpAf6GrygyGR89mTNZUg0cKmyRefe4lbNkZSOK+aNYMfrFiK0zb8RmHK3KvQMqbR6KsmzzGX8UOYJj9Yytyr8Nk2EjaCTMn6DJl5eRQ6FmOGTfawIdnVOy6WZVAbXEPAqEYPFQG9n4fOZZ16UcqfNyEGlaYR+OCHcf3jr22baXaIzmS/edpsPtHqZXR21pBV46DP5JqtIS4o1vnsIO2SI4QYPPKpFCJNfWyUjY1NQX4+3cE499AHm4nY67YniZ7PHk1jH66ag0E++OhTPL3/IAr41tKFfPGEuejH0GGRPsGWQkPHrZficabHfPPoavaFrhPJckb3vE/vxajKfavZ3HBj+/Z7ruAkxvMT/GY1dgr6LAvg0kqZk3dDSmZUCDEUjAUL8X/2CzjvvxfVKfusKSOTrxSP5WFfmF/++05+evKJfGnBvGNqx/uztsnkoN/irwfDjHIqLixOxTZeiJFLgnkh0tS8bI1HFjkTklofXU2+q8He67Yn0fnsPb1+VKrMZ091R1tauOB/j7G+qgaXrvOLU1dw+bTJx7TOggRbYiDKfatZU3ct9JA03BDcRJ4+r9+yfrOSNXXXpuwUCSGGgrFgId75J6Dv3oVqbMDKzcM2ZSpfqmtg/yuvs76qhq+8+Cq3b93OLatWsqAkvl0x4nVpiY0DPovbjhj8aHeIAjusyJeAXohUIXe/QqSRp6oNtrZ0jM4lIpCPdzX5wdrrticjbT77UNhcXcuJd/2X9VU1FLpc/Oe8lbz/OAL5NXXXxgTy0BFslftWD1a1hxXLMqgJvM0R7+PUBN7GsgZ/G8lUZFkGmxtuJBqcK8sBVux11xo+jGUZ3cp2eSYANjfeOGLeOyEA0DSMadMJL1mGMW06aBqzPAU8dumF/OzkE8m221lbWc3iO+/juhdfoSUYHNSXv3a8jXM9GmELvrE9xGbZg16IlCEj80KkiZfrDL63M4RTg7vmO5iQkZi+uIGsJj+U6ekjZT77UHj+wCEue+RJmoJBJubm8I+zT2eWp/CYnqv/YEuxufFGSl0rUzTlPjlGciZDbXBNzN89vuan1Gc+QcB2qO2IhWkFqQ2uAYgp6wyNp6TxExws/AkoE7DwGxXUBtfgcS475jpFp4i0BpqBvLbOAbleRXrRlOKqOTM5b9J4vvfa2zy+dz+/X7uBB3bs4c9nncbFUyYN2uv8eKqdhnCItxpMrtka5D9zE3cfIoTonXwKhUgD65tMvrUjhAGs9GiMdydu1fpErSYfj2RsjZfubtu8jXMffJSmYJDFJcXcf9E5cQfyPY0kxwRmFuS1no2yOvcLdwRbImKkZzIEjOqYn3UzG93M6bFc17KOcBnu0DSUZe/zOQei3Lea5yrO5M2aK9nXegcAL1ZeOOzPg0iMZGTgFGdk8PdVZ3D7eWcxJiuTwy0tXPLwE1z68BOUt7QOymvYNcVvptuZlaVoCMMv94UH5XmFEMdHRuaFSHF7vCZf2RYkYMIp+Rrfm2xHDeFe8l0lcjV5MXgsy+LHb77DD994B4DzJ47nN6efRK7TGdfjextJLnOf0/6z3SimpOkTBGyH8Dm3xzz+eIKt4UQyGcCpxzeHN95yAy3bWe/z8atkPr44bsnOwFk5fiwvjSrjt2ve45aNW3h4915ePnSEP648jY/OnHbc9w6ZNsUfZzn41d4Q10+09/8AIcSQk2EtIVJYecDii1uCNIVhXrbil9Pt2BO8l3x0Nfm+DNVet+LYBA2DTz79fHsg/+m5s/jTytMGFMj3NpK8r7Xz+gmqy/87HGuwNdx0TTHP9i3HHej8WRn+mQyFjsW4tFJ6uk4iFJpyUOhYHFdZl15KoWPxgOsh8/ETa6StEZEqGThuu43vLl/CU5dfzOzCAuoDAa54cjWXPvwEla3e437+ArviF9MdFDg6PqOyB70QySPBvBApqiFk8aUtQaqCMMmtuHmmA7ee2EAeOlaT74usJp86arw+zv7vw9y6ZRu6Unx/+RK+v3xJ3HvIxxPwRL46Bj/YGo66Zijkt55Lju/kfssNJ0rpzMm7IfpTj2UybWNQSu+nbOTnObk3HFMWQ9eOlRzvaWQG5ncqMfw7VhKl81SGdfVf582aK3mu4sxhO5UhFTuKZnkKeOKyi/jaohOwaRqP7NnHrP/cxb3bdw5q8P1QZZhv7AgRloBeiKSQu28hUpRTg1EuRakD/jLbQa498YF8lKwmnx42V9ey9K77eeXwUbLsdv688jQ+M2/2gPYe7hzwKMvGuJofYg+XdSkVWYhssIOt4WgoUszTUZl7FYsLbsallXT7XZ5jLnYtv9+yLr3kuNLgu3aYZAbm4gxO6LecGJhUGaFOpK5rieR4TwOrc7ubnI4iu67x9SULePKyC5lZkE+d389HHn+G9z/6FFWDMEpfGbD45d4wL9Sa/GxPWEbohUgCmTMvRIpy64qbZtipDkKJM3mBfJSsJp/aHt+zj488/gwtoRDjsrP4y1mnH9N+w50DGc3MwB2aiiNcRshWHlNuYuZVVDfH3pi69BLm5A7/1dkHIpo27jcr6XnUTuHSS9I+kyG6OGLAqMapF1HoWNytQ6fMvYpS10p2V6xjlPsC3NkfoKkWXFoRhmH0WPZo1VpaG2BZ4S143N2fcyCkY2XojdQ1Ijq3m3ajjLLGzxK0HcHv2N1ruUSa7Snkqcsv5vdr1/On9zbyv117ePnQEf569ul8YPrUY37eEqfi59PsfGN7iIcqDQrt8KXxMpdeiESSu3AhUohpWbxQa7T3bts1xShX8gP5KFlNPvVYlsVv3l3HxQ89TksoxJLSYh64+LxjCuQh/kCm1L2SFZ47AZiW/UWWe27nrJIXJJDvYijTxlPFQFKqldLRlJ1c+wxy7bP7fF6ldHLsUwAodB5fIA/xzd2XKSLHp+tUBmXZyW85r1NsPzynMnRuN5WVmmuJ2HWNby5dyBOXXcj0/Dxq/X4++NjTfPDRp6jx+o75ec8o1LlhcmRs8J+HDe45KqvcC5FIcicuRIqwLIub9of5+vYQv5ItX0QcAuHIQnfffPl1LOAD06Zw5wWrGJ2ddczPOZCAR6nIV4jHeSIe57K0DkiH0lCljaeCdEqpHgkdK8nWdeTZHZxGcfMV2I2iPsulu+PtKErkYoFzijw8/f6LuWbBPHSl+O/O3cz6z108ve/AMT/nZaU2vjguEtD/el+Yp6qH92KHQqQSCeaFSBF/OxTmzqORL8BZWfLRFH2ravVy5v0PceuWbWhK8e2li/j1aSvIsh9fiqMEPEOjzL2Ks0pfIMs2GY9z2bDIZEjFRb/603vHSnHad6ykgpE6leF42s1kLBbo0HW+vWwRj116AVPycqn2+TjvwUf5yguv4A8f22DCp8fofKhMxwK+tzPE7lZzcCsthOiRRAxCpIBbD4f5x6HIDe/1E21cVCyBkujdxuoaltx5P28cLSfbYeevZ53OlxbMxa4PznUTDXicWuwN93AYSU4mpXTsWhYZtnHDIpOha0q1IzSK8dU/RVnRDqXUTKmOdqx4nMtw2yKLO55R/Lhc14NgJE9liLabDq0w5nhf7WayM1vmFxfx9Psv5qrZke0yb163gaV33s+WmtoBP5dSiusn2rigSOMzY21MzkidKYJCDGeyAJ4QSXZfeZg/HIj0hF8z3sZHRkU+lpZpymJzoptHdu/lY0+spjUUYkJONn8563TmFRWi1ODeOJW5V+EpPpV9FZuZnPVJMvO+2uOiZmLwWZZB2PQDiqbQdjKt1Hzfu6ZK240SXOGJaKYbQw/1Wi4VKKXj1ApB+QjiT8n3Nx1FR6jX1F3LSMzsKXOvosBzEgeqtjE9+xoysvN6bTe7ZbZEE1xU9IfELBbottn42SnLOWPsaL720mtsqqll8R338ZvTT+aLJ8wd0HeLphQ/nmpHG+TvIyFE7yQyECKJHqkM84u9kUD+02N0PjkmEsiH3n2Hluuuwfuzn+D7y5/w/uwntFx3DaF330lmdUUSGabJ9157i/c9/AStoRAnlpXy4MXnMb/YM+iBfFT0BrLQuWRYjCSng2jKbaBtpG5b469Tdn/ukZpSLfo2nNeIiEvbWiJFrpP6bDe7ZraMq/0Bed6zO5VIbGbL2RPG8fwH38epY0bhNwy+/PzLXPTQ41QPcHG8zoG8z7D4+rYgm5ol5V6IoSLBvBBJpCuFBnysTG9fPCb07jv4br4Jq64upqxVV4fv5pskoB+Barw+zv/fY/z0rXcB+OjMadx+/lmUZmUmuWZiMPWXclvhfyk5FevFSE6pFn2LTmWYlfstABYU/HbQ1ohI5GJxQ6lrxopu5mEz8votN5SKMzK464JVfH/5EuyaxhN79zP31rtZvf/gMT3f3w6GeaHO5EtbguyQOfRCDAkJ5oVIoguLdW6f5+DrE20opbBME/+dt/X5GP+dt2OZ8qU4UqypqGTRHfexev9BXLrOz09Zzi9OWU7mcS50J1JLPIvJbW+6KaF16o8slij6opROrn0mAAWOEwblOjjqfZrVFScndLG4oZKqmS2aUnxu/hyeuOxCpuTlUun1cs4Dj/C1F18lEB5Yx8nnxtmYn61oNuALW4Ls9cq9ixCDTYJ5IRJsbaNJdbDjhn12ttaeJm3s2N5tRL4rq64WY8f2Ia2jSD7Lsrhl42ZOuucBDjY3Mz4nm3svPIePz5qOLmsnDDtdU26xui5pYxEwKxNap3iM+JRqkTBbG3/F2vqvEDRjvyP9ZkXKbYMYj1TPbJntKeTpyy/mYzOnAXDT2vWceNf97GlojPs5MnTFH2c5mJmpqA/B57cEOeSTgF6IwSR3hEIk0LpGky9vDfKpTcGYgD7KaqiP63niLSfSky8U5tPPvMBnV79I0DA5c+wYHrrkPJaUlQzZ/HiRXF1TaTXLlaSaDFw0pXpGznUALC78U9pvuydSy1Hv0+xp+VcfJay4t0FMlTT9dMhscdtt/Oq0k/jXOWeS53SyvrqGhbffy/927o77ObJtij/PdjA5Q1EdhM9tCVIR6CkDSQhxLCSYFyJBNjebXLstiN+EsS5Fbg97Sai8/LieK95yIv3sa2jkpHse4N+bt6IpxVcWzueWc86gJFPmxw9n6b5InFI6OfbpABQ4FkpqvRg0lmWwseGHXQ4qMv0nxByKZ7G4ZOzp3pd0yWw5d+J4Vn/gYhYUe2gKBrn80af4yguvEDTi6wjJtyv+NtvBWJeiPADf3B7EsiSgF2IwSDAvRALsaDX50tYgrQYsztH47Qw7Dq37CKs+fQaqoKDP51IFhejTZwxVVUUSPbV3P4vuvI/3qqrJdzn5x9ln8I0lC3DZZBfR4S6elFtnlxt+IUaC2uAaQlZHNppuZOMOTmdM/TexhT0xZftaLC7Ze7r3JprZ4tKKKHWfxXLP7SmZ2TI6K4uHLrmAT8+dBUT2pD/lngc52NQc1+M9DsXf5ziYlaW4YbJdssyEGCQSzAsxxHa0mHxuc5CmMMzNVvx+ph2X3vOXmNI0XFdc1efzua64UvabH2YM0+QHr7/FBf97jHp/gLmeQh66+HzOmzRe9usdIeJJuY2msQsxknQN0EfXf5Mc30kAKGIzQPrKcOlvgcl40/SHglI6mnKSbZuS0tuA2nWNH520jH+ecyY5DgfvVFRywu338MSefXE9vsypuHOegxlZHfcwMkIvxPGRiECIIbSjxeSzW4I0hmFOluLPsxxk2voOzuxLluK+9rpuI/SqoBD3tddhX7J0KKssEuxIcwsr73+YH7/5LhbwoelTuf/ic5mSn50S8zpF4vSXclvqOj05FRMiiboG6LqZ0eOaEg6toNfF4sJWS8yIfEZgNln+zmUHZ093yzJoCG4EoCG4Zdi22+dNHM8z77+YOZ4C6v0BLnzocb718uuE49hpp/OI/Pomk09sClLXwxpCQoj4SO6mEEMo367IsynGu+HPsxxk9xPIR9mXLMW2aHFkdfuGelRefiQFX0bkh5Un9uzjqqefo9bnJ9Nu47snLuFjM6dRFXiOt2tvjLn5dGmlzMm7IeVSL8XgKnOvotS1kl3l68CCmbnfpKxwMUrpGKFQsqsnRMJFp6B0TY/vam7uD3od0Tat2M9Orvd0dDOXFlds8H48e7qX+1azueFGzIDGRH7N5safsDnQPGzb7XE52Tx66YX86I13uG3Ldn717jreOFrBfRedw6isrH4fb1gWP94dYp/P4jObg/xjjoNCh2SiCTFQEhkIMYSKnYpb5jj4ywAC+SiladhmzsK+/CRsM2dJID+MBA2Dr734Khc+9Di1Pj+zCgt48OLz+Pis6VQFnkvJeZ2psgJ0IlmY7f9qCcWXRjoYIim3kb72HPuMlE25FSIROqag9P4dOjnrU4zKOLfX32vKHtdrHetClKk6H3+oOXWdn52ynL+edTqZdhuvHTnK/Nvu4YWDh/p9rK4UN820U+yAvW0BfY2M0AsxYBIdCDHINjWbPFXdEegUOxVZAwzk42GZJuFtWwm9+TrhbVux4khvE8m3vbaO5Xf/l5vWrgfgYzOn8eAl5zG3yAOYKTmvsz7wXo8rQFf7X0toPRKpNrCG5yvOBsDCYm/Lf7Awh+1NuRCprGMKSmnMcZuWy6L8PzAr9/o+H29TWUO2p7tlGSnZbifSxVMm8vTlFzOzIJ8an5+z//sIv35nbb/z4ce7NW6Z46DEAft8Fp/d3PO2vUKI3kkwL8Qg2tBk8oUtQb67M8Qb9UP3xR169x1arrsG789+gu8vf8L7s5/Qct01hN59Z8heUxwfy7L4y3sbWXjHfayrrCbP6eCPZ57KL05dQY7DAURWbe48suMIjWZi1U0o0xl9lkGZ1zlQu1pu6XHEaVPjTxJaj0Ta2fwn/GZlt+PDeZRNiFTWvuq7Xkq+4wQATvHc2+eIfGdDtad713Y7y7esS4nktNuJNikvl8cuu5DLp07GtCyuf+UNPvjYU7QEg30+blxbQF/aFtB/ZlOQKtmHXoi4STAvxCBZ39Sx/dyCHMUJOUPz8Qq9+w6+m2/CqquLOW7V1eG7+SYJ6FNQRWsrF/zvMb70/Mv4wmFWjCrlsUsv5LJpk2NWq+86X9NueHAYxWiWO+b48czrHIiOkaTeR5wi/xpGWSF9/s0Rw32UTYhUpZSOrly49dHtP8drqPZ079oeu0NT4io3HLltNv5w5in89ORl2DSNB3bu4cS7/suu+oY+HzfWrfHPuQ7KnHDAb/Hvw+HEVFiIYUCCeSEGwXtNJl/aEgnkl+Rq/HGWg4xetp87HpZp4r/ztj7L+O+8XVLuU8hDu/Yw99a7eWrfARy6xreXLuTO81cxKS+3W9l452se67zOgaoPbYj5WTdy0MzOHQuRgLcptCMh9UmE+tCmfkqMjFE2IYaj6Oi+x3ki2bYpg7Kne6q128mmlOLqObN44KJzKXK72VJbx+I77uOx3Xv7fNxol8Y/5zi4vETnaxNlfW4h4iXBvBDHaW1jJJD3mrA0V+MPM+24hyCQByKr23cZke/KqqvF2LF9SF5fxK/W5+NjTzzDZY88SY3Pz/T8PB646Dy+vGAeTlvPo0nRVZuHYl7nsQgatTE/lzV8icKWy7qVC5mNCalPIgSNnj5f3c/HSBhlE2I4UkrHqXtw6p5B2dM91drtVLGkrIRn3n8xi0qKaAoGufjhJ/jh629j9jGPfpRL47tT7Di0yHtpWRYNIUm5F6IvEswLcRwO+Uy+vDWIz4QT84Y2kAewGuoHtZwYGo/u3sucW+/m7m070ZTiU3Nm8fClF7CotDhmj92uOlZthsGe13ksHHphzM+a5UYzu+/vbNe6ZxmkK4deEFe5kTLKJoToW6q126mkJDODB9p2agH40ZvvcNH/HqPBH+j3sZZl8dt9YT62IchBn2QbCtEbCeaFOA5jXIpLSnRW5GncNMOOawgDeQCVlz+o5cTgqvP5ufLJ1Vzy8BNUtHqZlJvD3ReczQ9PWtq+yF1/hmpe57HIt89v+1fvI04AOfbpCalPIuTb57b9S0bZhBDxSaV2O9U4dJ1fnLqC355+Ek5d58l9B1h8x71srq7t83HNBrxab3I0YPGpTUF2tkpAL0RPZFKKEMfAtCw0pVBKcf1EG4YF9mhamGlG0uEb6lF5+ejTZwzaHvH69BmogoI+U+1VQSH69BmD8noiPpZlcd+OXXzlhVeo8vrQlOKqWTO4fulCcpzxBfGdlblXUepaSXnNGlrqYXHBzRRlLk74yE7s6/U84hT51zDqF+7zb44YqaNsQojeRdvt/Y1rCQVhTu73KM1PfLudqj48YxqzCgr45DPPs6exiRPvvp9bzz2L90+f2mP5HJviX3MdfHFLkF1ei09vCvLHWQ7mD9HiwkKkK/lECDFAdxwJc+22ECEzMo9LU6o9kB/qLeOUpuG64qo+y7iuuHLQOg9E/w40NnHh/x7jI48/Q5XXx+TcHO48/yx+fPKyYwrko5TS20e8CxwLknpDODXrMz2OOM3N/V6SajT0pmV/GZdW3O34SB9lE8nXFNrNEe/j1ATell0VUoxSOnYtD4A8x+wBt9te4+iwPrfzij2sfv8lrBhVSmsozAcee7rPefQeh+Kfcx3Mz1Y0G/D5LUHeHMJtf4VIR3LHL0ScLMvizwdC/G5/mNfrTZ6tiU35StSWcfYlS3Ffex2qIHZuryooxH3tddiXLB2U1xF9C5smv1+7ntm33s2T+w7g0DS+eMJcHr/8Ik4bOyZmy7l0l+9cwFmlL5Blm4THeWL7CtBFrpOTXbUhU+hczMrSZ4HI+PykrKtRaBLIi6Sp8D0PwK7mP7Ou/uu8WXMlz1WcSblvdZJrJo5XuW81fqOcI95Hh/25LXC7uOfCc/jknJlAZB79+x95ktZgqMfyOTbFX2c7WJGn4Tfh2m0hnq2RgF6IKEmzFyIOpmXxq71h7quIfIF8ebyN84o6+sLi2TLO9+9bsC1aPCij5vYlS7EtWjxk6fyib68fOcqXnnuZDdU1ACwsLuInJy9jfpGnzwXu0plSOjaVictWhMc5oe1ozzdfw0XH9AFFln0CXg4ktT5i5Cr3rWZd/fVM458xx/1mJWvqrpWMkTRW7lvNmrprmcjvYo4P53Nr0zR+cvKJzCzI5zuvvcVDu/ey/O7/8tilFzI+N6dbebeu+P1MOzfsDPFcrYmsby9EB7nzF6IfIdPie7tC3FdhoIDvTLLxqTG2mKAtni3jaGkh8MhDg1YvpWnYZs7CvvwkbDNnSSCfAJWtXq568llOvudBNlTXkOtw8P3lS3jg4vM4obho2AbyQojksSyDzQ03Qo8hTOTY5sYbh2Va9nA30s/tR2dN578XnUOhy8WmmloW33kfrx4+0mNZu6b4+XQ7/5jjYJVH1iEQIkru/oXog9+w+Mb2EE9Wm9gU3DjNzgfLuie0xLsVXPCZp7FMWZE10SzTJLxtK6E3Xye8beuAz0HIMLh53Qam/esObt+6HQVcPnUyz7z/Yj43f06v+8YLIcTxqg2uwW9WtP+sLDvKdHYqYeE3KqgNrkl85cRx6XpuNdNFtu/ETiWG/7ldWlbKU5dfxKzCfGp8flbe/zB/37C5x7K6UizO7QhdKgIWtx0OY/Wxd70Qw52k2QvRhyMBi7VNJk4Nfj3dzikFPQdtcW8F19qCsWM7tpmzBrGWoi+hd9/Bf+dtMZkTqqAA1xVX9bu+gGVZPL53P998+TV21DUAMKewgO8uX8xJo0cNq3nxQojUFDCqY37O856FKzSZqtxb+ywnUl/Xc+YwRpPTeBrN7rf6LDfcjM7O4tH3XchXXnyFJ/Ye4PPPvsjG6hp+f8Yp2PWe77sCpsUXtwTZ57M4ErD49iSbfCeLEUlG5oXow+QMjd/PdPDnWY5eA3mIbBlHZlZczxnvKL44fsezKOF7ldWsvP9hLn7ocXbUNVDgcvKD5Ut55H0XcMqY0XLTIIRICKdeFPOzZjnRzcx+y4nU19M56+mbZSScW7fdxt/PPoNvLF4AwF/Wb2LVA49Q6/P1WN6pKT46SkcB/60w+M7OEEFTRujFyCPBvBBd7PWarG/qSMNenKuxKLfvj4rSNBznnBvX88c9ii+OSzyLEvrvvL1byv2Bxiaufuo5Ft1xLy8eOoxD1/jUnFk8/8H38dn5s3HZJaFJHCfLoibw9rDegkoMnkLHYlxaKT2HeQAKl15KoWNxIqslBoGc21hKKa5bfAK3rDoDt83GS4eOsPTO+9lSU9tj+feX2vj5NDs2BatrTL6wJUhTWAJ6MbJIMC9EJ2saTT6xMchXtgXZ7x3YvGrnJZdCVt+j86qgMDKKL4ZcPIsSWnW1GDu2A1DR2sq1z7/MtH/fwa1btmEB500cz9OXX8yPTlpKcUZGAmothrug2cgR35O8WXPlsN+CSgwOpXTm5N3Q228BmJN7w4D3NB8MlmWkdMeUZRn4zWqCZn1K1i+Vz20ynT9pAo9degGjszLZ29jE8rv+y6O79/ZY9pwinT/NspOlw7omi09sDHLUL2sTiZFDgnkh2jxVbfDFLUGaDZjgVuTaB5ZGrTQN9yc/02cZ1xVXyqrzcTreRevinc7QUlXF/736BpNvuZ0/vreRoGGyrKyEey88h3+sOoPpBfmySr0YFOW+1bSG92NY3pjjkS2ormFzw89SMuAQyVfmXsXC/F91O+7SS5K2dVm5bzXPVZyZsh1T0fpV+1+lNbw/5eoXVeZexeKCm9GIDdiTeW5TwczCAp6+/GKWlpbQHArxvoef4GdvvdvjYnfL8nT+PddBiQP2+Sx+tjechBoLkRySLypGPMuyuPWIwc0HIo3/ykKNn06149IHHsDZlyyFa6/rYcG1QlxXXNnvgmsi4ngWrWsvH+d0hg+9+harXZH5p/M8hXxl0XzOHj8WXTpdxCCKbkFVzBd6+i0A+1pvY1/rbbi0UsZbv0b620Vnpe6V7OY93PoYMhweJnhup9CxOCmjttG90btuqZYqe6P3Xr8K1tRdw+zwv7CTOvPQy9yr8OkbcdnzCYdheRLPbSopcLu4/6Jz+e5rb3Lntp3c8NpbbKiu4T/nnkWG3R5Tdmqmxu3znNy4J8R3p9h7eUYhhh8J5sWIFrYsfrEnzIOVkZGwj43S+dqE41sR1b5kKbZFiyNp3g31qLx89OkzZEQ+TtFF67qKLlrHtdfFFdDr02egCgp6TbU3gaN2B885M5iWn8c1C+Zx0eQJva6cK7qzrEi2RE3gLTICue03n5ZlUBtcQ8CoxqkXyU0p3begyvYtw2bmU5/5dLeyfrOSsNWKjexEVlGkCZty47QV4nFOSsrr9783umJz442UulYmuGZtNeizfhF1wXXka6k3D92h5WLQise5MNlVSRl2XeOXp53EzMJ8fvD6O9y/Yze76xt59NILGZ0dO7Wx2Kn4wyxHzLEdLSbTs+T+SwxfEsyLEe3uowYPVhoo4BsTbXx01OB8JJSmyfZzxyCeRet8/7oFMjKwzZzVZweJ0jRcV1zVY8dANGH/z9Pn8vuVp3LhpImyV/wAlftWs73mb4zm/9jZ/Bd8wW24tFJGZ1zAEe8TMYGrSytlTt4NIzZdFLpvLZUZOAF7uKTHYD4mCLFk7mcq6NpBZaXQqG6ide2YcgUnoZvZtLo2tB3p2Bs9g5lJr59mutDM7uvZNIV3Ue5rGdHtUjr5xJxZTM3P47OrX2JdVTWL77yPR953AUvLSnt9zFPVBv+3M8QnRutcM162rhPDk3RViRHtQ2U6y/M0fjPDPmiBvDh28SxaR2sLvl/cSMt11/S5tRyAbfESdn/049S6Yhevq3a6eeOSy7j+85/h8mlTJJAfoGgKa8CsiTnuNyvY0/KvmBvpyPFI6m2qzVVNpP62lipp+AzZvhXdjjeFdw5VlYatwV6Urae54eW+pwmZI3Ob0e773q+ksOV9/ZZLlK6vazeKcRjFPZbd3HijrFGRRk4aPYonL7+IqXm5VLR6OfXe/3HX1u29li8PRDpGbz0SCepl6zoxHEn0Ikaco36LUidoSuHUFH+eZZcFzlJEvIvWQd9p995QiPu27+IP6zawoboGbdp8Tmpt4oycbJbNmMacFcs5wSbN37GwsPpNYQVQphNLBdoWZI5NvR2JKfcdW1D1LCM4HVNrodn9RszxkNEwxDUbXsp9q9nccOOgZYb0NvfasPw0h/dS7msecSO78e557tSLIAnrkPVWP2U58DR9kJqc+9qPRTMIPM5liaqeOE7jc7J57LIL+cKzL/HioSNc8eSzbK6p48ZTlncbef/kGBtFDsWPd4d4psakKhjkphmOAS9wLEQqk5F5Max1XRH91ZoQH1wf4I8HOu4wJJBPHfEuWtdZ573it9TUcu3zLzPqb//mk888z4bqGtw2nQ/NnM73r76Sz3zmk5xw6inYbLaU31IpVQWM6m4j76WNn4z5WVl2Jlf9GXewc4ptR+rtSBS7BVX8bY5dzxuS+gxH0cB7sDJD+p8bPjJHdlN9b/TeOs4codEUeM/DER4VczxZGQTi2GU7HNx23ll8fv5sAH7xzlre9/ATNAeD3cpeVNyxdd17TRYf3xhkzwC3HhYilcnQlBi2eloRvSwzn4UnfZQNmUsImhYOTQL5VNLfonU9sepqeeLpZ/hlYyuvHSlvPz4uO4v3T5/Cx2ZMoyQzI6bTZrBH70YSw/J3O6abOTE/K8uGbrnRze4LuI3kG+cy9ypabW8RUpVxB4A5tmlDXKvhYSCLssWbGdJ17nWWfxEtznWgOl5jJI7sRjumIhkLXb9Dk783ekf9romrfLyZBiK16JrG95YvZXp+Pte/8gaP7dnHirv/y2OXXsSE3NjvpGV5Ov+Zq/jKthCH/BZXbQzy0EInRQ65BxTpT0bmxbAUXRG9a1Doaa3nJ6v/zF986yWQT0HRResG6tbX3+S1I+XoSnHW+LH8c9UZvPShy/j64gWUZmV2C+QHc/RupNGV67geLzfOYFqhfkp0apuUfE3Ho2vgrUwXNqOwU4mBZ4Z07niyhT2Mrv8a7tDUPsuNFNG90V1aSczxVNkbvcy9ikX5f6C/29xkZhCIwfHBGVN54OJzKXS72FxTx+I77uPVw0e6lZuSqXHnfAeLchQfKNUlkBfDhtwliGGnrxXRNSK3yaG77mhPzRapxb5kKe5rr0MVFMT/oNw8vrxgLi996FL+c+5Kzps0ocdF7SRt9vg59aJ+Umx7k9zU21RgWQa+8BH6W2/AqRVjU5mJqdQw0TWgzm89lzF13+i3XF86dzwp2toTq/tt00jtoCpzr+Ks0hcocp1Kpm0Cyz23c1bJC0kP5KNGZZzLovzuu5l0lswMAjF4FpeW8NTlFzGrMJ9av5+V9z/MPzdu6VYu367462wHXx7fkZhcF7LwGbIwnkhfEsyLYSeeFdGtulqMHb2vgCqSy75kKVk3/RHn9d8h7M7oNfSxAF9ODr/9zNV8Z9liJuXl9rn1TNfRu+LGq3AFp8Q840ie1x0PhTqGud/JT71NBbXBNZh0jMrbjDxG1X21W7kF+b9EU/YE1iz9dQ2oNcuJspz9lutL/3PDZWRXKR2XVoRDy8fjXJZyn+9RGeeSYRvb7biuXOTYp6VMx4M4fqOzsnjkfRdw7sRxhEyTz6x+getefIVwl4Ebu6bQ2+4TgqbFdduCfHJTsH3leyHSjQTzYtiJd0X0gaycLhKnMRDgvzt28Ymnn2fMK2/zieKxWHTsDR/V/rX74Y9ht8cX+HQdlcvxnYw72H1O8khMmx2IaIqtUyuMOe7SS5mc9SmcKZp6m2xdryuFHYfRfaGuoFmbqCoNG0OxKFvfixZKB1W6sKtsFDbm5f0IgHl5P6HEtRKHNoDsL5EWMux2bll1Jl9dOB+A36/dwAUPPkqDP9Bj+UN+i4M+i+2tFldsCPBek2RsivQjC+CJYSVsWdRk5BJPguqxrJwuBl/YNFlbWcXzBw7x7IFDvHakPKYn/aXiUv5QUsxnt64ns6W5/biVn0/gAx/GWLAw7tca0JZKok9l7lUUeE7mQOVWdOVmued2Ch2LUUpnWuZX2Vu+kUlZV5KZ/+X24yNd5Lpqiaucb+irM6wM1aJs0Y6r7TV/izmuKxfZ9kmUuZcfR61FwihFnmMOTWwjzzGXelXR/2NEWtKU4ptLFzKtII+vvfgaqw8cYtld9/P4ZRcxNT8vpuzkDI275ju5bnuQna0Wn90c5DuTbFxWKuGRSB9ytYphoyFk8e0dIfb5JnF/fgGqvvdUe1VQiD59RgJrJ6LCpsmGqhpeO3KUFw4e5qVDR2jqsp3MpNwcTh0zmjPGjWb5qFIy7XYs8wp8u3ehGhuwcvMwpkwFbWDJRdHRO79ZSc/zlhUuvWREp80OhGpbnE3DjsfZ0ami2pK+ChyLyHam9uiXZRnUBtcQMKpx6kXkWHOH7LUKHYsp5zDxpG03sHHI6jFcRQPvyLoYHVx6CXNyj32nis4dV9Oyv0hGTh6hYBGhQPdtsIQQqeGSKZOYmJPD1U8/z876BpbdeT/3X3wuZ40fF1NulEtx61wHP9gV4tlak5/sCbPTa/H1CTbsslCySAMSzIthYXOzyTd3BKkIgFvTOHLZxxnzrz/0Wt51xZWoLoGgZZqR+fYN9ai8/Mg2aQMMFkV31V4fayureONIOa8fLeft8kpaQ7Greec4HCwpLebEslLOGDeaafl56F3fe03DmDb9uOqS6lsqicTqaYvCLHMWo7mhj0cdO6V03LbR+NjXa5mRcv21hg/REqgHCrH6WRBwIMrcqyh1reRQcC2BoBmTMXI8oh1XHtcKMpzZVPRxDoUQqWFesYen3n8RVz/1POurazj3gUf5/Rmn8KUF82J2uXHril9OtzP1sMFfDoa5r9wgZML3psjaJSL1STAv0pplWdxbbvC7/WHCFox1KX4zw860zBMJZWrd9plXBYW4rrgS+5KlMc/T0570qqAA1xVXdSsremZZFuWtrWyqruW9qmrWVFSxprKKA03N3cpmO+ycUORhUUkxp4wZxfyiQtxxzns/XkM1eifSS3SLwq4ZGgGzBoDawBrGZJ0+6K/r0HIpsp9IfXBTzHGlbJS4VlLmPmXQXzOVlPtWEzQdVHgfxxvewnh+Qk3gdbK1wcuUUkrHrY/C0OrxOIcu00KIROuaSSRTmPpXnJHBg5ecx9dfep2Hd+/lmhdeYXNNLX9ceRp2veO9U0rxmbE2pmYofrkvxFWj5X0V6UGCeZG2WsIWP94dSYsCWFmo8YMpdrJtkd5W+5Kl2BYt7ne0PbonfVdWXV3k+LXXSUDfiWGaHGxqZndDI7vqG9hWV8+m6lo21dRS5/f3+JgJOdnM8RSysKSIpaXFzCosxKFrMT3jiRQdvdtdvo4xGRcxw/NhuSkaQeLZonB/612MLjx1SF7fbRuDSx9FS7AW9GyWe26nuS6DLFvekLxeqoh2oEzmLzHHDStIc2gv5b5m6UwTohc9ZRK5tFLm5EkndH9cNht/WnkqMwry+eU7a/n7xi1sr6vnwUvOp9Dtjil7eqHOSflaTIr9mkaDBTla+yr4QqQSCeZF2vr7oTDP1prYFFw3wcZHyvRuwaHSNGwzZ/X6HH3tSR/lv/N2bIsWj6iU+5BhcKSlld0NDeyqjwTtu+ob2N3QyN7GRoJGzyu+akoxISebafl5zPYUMq+okPlFhRS4XN3T5pNMKR2lbOTYZ1Hg7L6iuBi+um5RCKAbeRh6Q/vPQbOO2uBaYGg6eBQKTTnQtQw8ztk0s6n/B6WxeDpQNjfeSKlrpXSqiWHtWEbXe8sk8puVrKm7VnYLiYNSimsWzmNafi5ffv4VXj58lCV33s/jl17ELE/s2i6dA/m3Ggy+uCXEklyNn02zU+iQgF6kFgnmRdr6/Fgbu70WXxxnY272sQWKA9mTvq9OgXQSNAyOtrRyuLmFwy0tHG5u4VBz5P/RY+UtrX3OYrVrGmOzsxiXk834nGym5+cxq7CA6QX5ZDnsfe71LkSydd0izhEazYSaX7C3+NoeyklHz2Do2oHiDE7EULFTcPxGBbXBNXicyxJdPSESoq/R9d7amv47wpR0hA3AORPH8+ilF/CJp55jX2MTJ951P/dceA4XTJ7YY/nmMDg1eKfR5MPrA/xiuoNFuak1OCFGNgnmRdrwGRaPVhl8sDQyAp9pU/x1tuO4nnO47EkfCBtUer1Utnoj/2//t6/jWNv/63rZb7WrzgH72OwsJuTmMDEnm0m5uYzJzsRps0nQLtJS160HdSsThYZmubAIx5TzJrpyw1TXDpSM0HR6Ck66lhNiuOhvdH2GdRvg7Pa4mI4wC8bUfYea7P/id+wmelA6wgZmZmEBT11+MZ965nneqajiooce55enruAbSxZ2y/A826MzKUNx/fYQe30Wn9sc5EvjbVw1Wpd7IJESJJgXaWGf1+SbO0Ls8VqETLhi9OBcuvHuNZ+MPemDhkGV10dFayuVrV4qvF4qWiNBeUXbz9EAvXGAWyTZNY3SzAxKMjIoznBTlplJSaabUVmZjM7KZFRmJkUZGdh1Tb6sxLDT/xaF4NAKKHQsop71Ca3bcNW1A+V4ywmRTuIZXQ+ZDbjI7fbb2A4uRWZwDk3hNzoF8z2VE/0pcLu476Jz+fYrb3Dfjt1c/8obbKqp45ZVZ+K0xWY4TM7QuHO+gxv3hHii2uTmA2HWN5n8eKqdXLvcI4nkkmBepDTLsnisyuCXe8N4TfDYYUbW4KU36dNnoAoK+ky1H+w96f3hMIeaWzjU3Mzh5pZIYN72X6U3+u/WuEfQo+yaRoHLSaHbRaHLRYHLTaHbhSfDRZHLRVGmm2KXm6LMDApdLgnUxYgVzxaFEzI/hkJSKQdLbAdKz1x6KYWOxQmslRCJ0W2aSWg8ud7TqcqNrtljYWIQMpvoemsuHWFDx6Hr/Pb0k5lZWMBP3nyXO7ZuZ1d9PQ+/70JKMjNiyrp1xU+m2lmYE7knfaXe5NV6kwuLZWqDSC4J5kXKaghZ/HRPiOfbVqtfnKPx8+l2PIO4+IjSNFxXXNXjavZRPe1J35c6n59dDQ0cbGrmYFMzh5pbONjczMGmSABf5fXF/Vw2pSLBudtFoduNx+3C0/b/IreLogw3Re7I6Hq+04muKTSlkrZKvBDporctCp26B4BCpwSVgym2A6XbbwGYk3uDzPkVw1LXUXN3cCq53jM6BfMRJiG63pr33xGmcOkl0hF2jJRSfGbebKbm5/GFZ1/krfJKFt9xH49cegELS4q7lb2s1MbsLI1naw0uKJIOX5F8EsyLlLSm0eQ7O4LUhMCm4AvjIvOThmJbEPuSpXDtdXHvSQ/QHAy2r/C+s8v/4xlRd9t0SjMyKcnMoMjtwpMRCdCLM9wUZ7gpysigJMNNgcuFTZMRdCGGQnSLwor6NTTXwgl5vyTfOZf9FVuTXbVhKdqB0lCpYdGxI4auHGTbJ1HmXp7E2gkxdOIdNdewY3Q5Fk8mkXSEHb/Tx47m8csu4sonn2V/UzMn3f0Af191BlfOntmt7PQsjemdskTrQxY/2BXiugk2JmZIgC8SS4J5kZLcGjSEYYJbceM0O7MGMbW+J73tSe83TDZUVLKhuoaN1bVsrK5he109Fa19L4tVnOFmdFYWpRkZlGVlUJaZwejsLMZkZTE6O5PCtiBdRtCFSC6ldPLss2hmB/mOeaDkRmwolblX4dXWYxIi3zkfIwAe50mYvWx3KcRw0P86HQoNHbuWg9HDspvtmUT1P4s57tJLmJMr+8wPlsl5uTx5+UV86bmXefHQEa566jnWVlTxm9NPxq733lny+/1hXq03ebcxyHUTbHygtPtWyUIMFQnmRcpoDltk2yKN3+xsjd/PtLMwR8OtD32DaFkWR1u9bHBmsEHzsmH3QTa+uY4d9Q2YVs8LZBW6XO1bs03IzWZCTg6Tc3OYlJdDtsORcvuqCyFEqtCw49YLaKEe1W20UYjhJZ7RdbuW1+dnocy9ihLnmew+up7xGR8iy/OpuPaoFwOT63Ry+/ln8+t31nHzexu5+b2NrK+u4b8XnUdxl3n0UV8aZ6MyYPF2o8nP94Z5rd7kB1NkT3qRGBLMi6QzLYu7jhr841CYf891MDUzEgSflD90X1C+UJi1lVW8ebSCN46W8+bRCiq9PY+25zudTCvIY0ZBPtPzI/+flJ9LgdOZFgG7ZRnUBtcQMKpx6kXy5S+EEEIkWG/rdERH13217n6fI/rdne+cT67TMyT1FKApxbeWLWJuUSFfffFVXjl8lIV33MvD77uAxaUl3coXOxV/mW3nnnKDm9tG6T+wPsAPp9g5tUDut8TQkmBeJFVVwOJ7u0K80xhJsXy0yuDrEwc/QD7U1NwetL9xtJz1VTWEzNi0Tl0pJuTmMK0tYJ9ZkM8cTwGjszKx9ZFelcrKfavZ3HBjzCq6Lq2UOXnpn5YnnRRCjBy1gTUEkc+6SG/RdTqOWGvxNiuWe25vv573sjHZ1RNdnD9pAlPycvnkMy+wr7GJk+95kL+edTpXz53VraymFB8bZWNprsYNO0Ps8lp8ZVuIH02Fi2XFezGEJJgXSRHdcu43+8I0G+DS4OsTbVxeMjgN3uHmFp47cIjnDhzipUOHOdLS2q2Mx+1ifpGH+cUelpQWM7/IQ7bDMWwWmyv3rW5L6YudJuA3K1lTdy2LC25O24B+OHdSCDFQlmXgN6sJG2FqAm8Pq2C3PrgRyOLt2s9gaZHFReWzLtKZUjpZtgn4OITHuSTZ1RH9mFaQz5OXXcSXn3+Z5w8e5pPPPM/ayipuOuOUHufRT83UuGO+gz8eCPNirckZBamfwSnSmwTzIuGO+i1u3BPijYbIyPisLMWNU+1MOI4VQBsDAV4+dIRn2wL47XX1Mb/XlWJ6QT7ziwpZWFzE4rJiJuXkpO2Ie38sy2hL5etpvr8FKDY33kipa2Xa3fQP504KIQYq2rGV578Ye7iUbTU/HjbBbrlvNXtb7mIU18Qcl8+6ECKRcpwObj3vLH635j1uWruBP6/fxIbqGh64+Pxu+9EDODXFNyba+cJYi8y2taAsy+KecoOLi3WybMNj0EikBgnmRcK9VGfwRoOJo23LuStG69gGOBoeNk3ePFrOs/sP8dzBQ7xTXonRaaE6TSlmFxawfFQpK0aXsrikmDync8SsLlobXBMzaq0sO/ZwEUH70bYjFn6jgtrgGjzOZcmp5DE41k4KSckXw9Fw7tiKftbtTOjpt6Rzh6QQIv1oSvGNJQuZV+Thmudf4bUj5Sy4/R7+e/F5nDR6VI+PyewUtD9cZfDrfWHuOBLmhil2Th7CdaHEyCLBvEiIsGW1B+wfKtM56Lf4SJnOeHf8o/HNwSDP7DvIo3v28sTeA9T5/TG/H5+TzYllJZw8ehQnjS6lOCNjxATvXQWM6pifs30rKG76CLtLP99nuVTXtZNCN3LQrAxCtuix7p0UfaXkQ3x7/w5H0sGR3oZz9g10fNajwXxGYDYhWzVB+6G2EunZISnSR7q0kelSz+Fi1YRxPHn5RVz99HPsaWjitHv/xy9OXcHXFy/o855zrEsx2qk4ErC4ZmuIC4oMvjHRTp59ZN6nisEjwbwYUmHL4vYjBk9XG9w+z4FLV+hKcf1EjQrfW+xuqiLDVkypexlaD18+R1taeGzPfh7ZvZfnDx4i2Gkv4jyng+WjylgxqpRTR49iYl5OWqwunwhOPTZI1SwHynL2Wy7Vde18KGi9AHdwBgc9P+ixXH8jl9Ot24e0vqlK1hxIf107tjTThWZ2Xg07vYPdrp91T8vl+By7qMq9tc9yQgyGdGkj06Wew83kvFyeuvxivvHSazy6Zz/ffPl1Xjt8lFvPO5s8V/d7LYDFuTr/XaDx54Nh7j5q8ES1yZsNAb49yc7ZHul8EcdOgnkxZHa0mPxod4htrZFA6slqg8tKbextfpI3qr5Pa7i8vWymrYwVxT9mUvb5bKmp5eHde3lk917eraiKec6x2VmcMW40q8aPY1lZCRl2e0L/pnRR6FiMSyvFb1bS88idwqWXUOhYnOiqHZeunQ/KsqOs7teAUy+Ka+TStAKA2cPvh6/hnJo9knQNYh3h0diN7ltVpWuw21NHY097cKdbh6RIfenSRqZLPYerTLudv5x1OsvKtvPDN97hkT37WHjHvTxw8XksLCnu8TFuPTKXfpVH50e7Quz1WVy/I8SVzSbXTZT7WXFsJJgXg85nWNxyKMwdRw3CFuTY4BsT7VxYpLG3+UmePfpZun75tIYrWH3kMzy14+M8umt0zO/meQo5Y9wYzpkwltmFBcN20brBpJTOnLwb2r7ou94AR36ek3tD2qXiDaSTouvIpT1cTFhvwFLBtiMWFhat4cMU0PN8t+FmuKdmjyQ9B7HDJ9iNftZ7l54dkiK1pUsbaVlmWtRzuFNK8Yk5Mzmh2MNnV7/IvsYmVtz9AH848xQ+O29Or2n387I17jnBwT8PhbntiMGZhXKOxLGTnGQxqJ6vNbhsXYD/HIkE8mcVajy4wMlFxToWJm9UfZ/ev3zgxHEP49Dg1DGj+OGKpbz50ffzxOUXcf3ShcwvLkq5QN6yDGoCb3PE+zg1gbexLCPZVWpX5l7F4oKbcWklMcddekna9thHOynafur6W6Cjk6LriOTYuhvI9Z7W7TkNq2UIapqaunZwYOk4Q+M7lehIzRaprSPY7W2+pcKll6ZtsBv7We/2WyA9OyRFaotpIy3FqLqv4giXdSqRGm1ka3h/TFteVn8N+S3ndyqRGvUcKU4oLmL1By5h5bgxBAyDzz/7Eh9/cjWtwVCvj3Foii+Ot/PEYifzczrCsUcqw2xpHlkZg+L4yMi8OC6WaWLs2I7VUI/Ky+cJcxIVQShzwjcn2jmjU29jhe/tmNR6zYxs52FqXgCUgoKMZlZ/cDJTck9J+cXr0mGuWpl7FaWulRwx1+JtViz33J72i+NEOykioxIdXHoJc3I73vtuKfmmE62HdQN0lTV0lU0xXTs4svyLKGv4IrtKPwXK6LWcSD3DNfumszL3KkJZDvwNsce7ftaFGCyd2z5lOckOLKE59BZBW3mv5ZIhZDbH/OwIl2Bozd3KJbueI0me08lt553Fn97byK/ffY+7tu1kXWU1D15yPjMLC3p9nMfR0X4f9pv8bE+YkAWXleh8ebxNFsgT/ZJgXhyz0Lvv4LvjNqivaz/2/fwCzjzvY6xctRy3HmmAfKEwj+zZy3OHnmTJuI7HlzRejaXCVOT9PeZ5MxxNaRHIp8tcNaV0Mu0T8HEIj3NJsqszKKKdFAf9awkZRo+dFPGk5CsUmbYxCat3svW0MKJGz2sOiNQXb8dWOst3zKOcvWTaxpPlLGaS54y075AUqSveti/ZbaRdy45ruZdk13OkUUpxzcL5LCop5ovPvcy2unqW3Hkffzv7DK6YNaPfx7s1xdkejSeqTR6sNHiu1uCa8TbeV6Kjp/h9sUgeSbMXxyT4ztt4b74Jq1MgD6DV13Hq3X9EX/sObx2t4PPPvkjZ3/7FRx5/hlcPx24lp1nuLqsvR6T6l0//c+pgc+ONSUm5T+W0/8GmlI5bL8Wm5eBxLut2c993Sn6EppyMpGZwuKdmj0Rl7lWcVfoCbttoNGVnued2zip5ISUC+cFsj2wqg0zb+B4/60L0y7JoCG4GoCG4Ccvq6fs7fdrITNuEtKjnSLVidBnPfuASTiwrpTUU5uNPPsvHn1hNUyDY5+MKHYqfTnPwrzkOpmYoGsPw0z1hrtwYlNR70auRcxcrBs2+ljAVt97WtsRKdxaw/x9/46S77ufvGzbTGAhSlpnBGWPORae4l0dBunz5dJ13rCw7NiO/U4nkzFUr963muYozebPmStbVf503a67kuYozKfetTmg9Ukl05NKucrv9rqdjxyvVO1MGsuaASB9K6diUG6VsKRPsSnskUkXIasYizMaGyBamGxu+R6X/eYJmXbey6dJGKqWlRT1HsqIMN/dfdA5fXTgfTSnu3LaDE26/h7fLK/p97MJcjbtPcPDNiTaydNjaYvHpzUGawj13QomRTYJ5EbfGkMVv94W48anN5DXX93rxKKA04Od0XwsXTZ7Areeu5PWPvJ/vLz+RBQXf61Sq66PS48un6xy0XO9pjK39fr/lhlI07T9mcTM60v6bgtsSVpdUFLIaejjWiGH5aQ7tHJTXSJfgZTgujAip35EyklT6X+qzPTKtvkenhBgs5b7VeMOHuh03LD9NoZ09ts8dbWTs9mKp1kYO17Z8ONE1jW8uXcgDF5/LqKxM9jU2cdLdD3DjW+9imH2PtNuU4qOjbDy00MkFRRpXj7GRY+u4dw73kl0iRh6ZMy/i8l6TyVe2Bmk2YGVrQ1yP+fvSBWScfErMseEwx7P7vGNXUqcLxLOVTrn/GQq5PCH1SSUd702PvwWg3P8c46yTjqsTKZ3WUICONQeOVq6ltRFOLPwPHlf6zkNOh8UoR5Ltjb8H1Xt7FLa8OJQjwbUSI020/S/hy72W6W37tjL3KopLTmdP+UYmZn6czIIvpuRaDdG2fG/tOrKcxUz2nJmS9RzplpWV8twHLuGbL73OE/sO8N3X3mL1/oPcef4qxuZk9/lYT1vqvWkYhLdtxWqoZ5ctl+8wmS9NdHB2oZby60yJoSXBvIjL1AyFTYPJDphVGN+8neziYnoaG4t++exvWodp+cnL+Q5OrQC7lotlGSn/JTSQvc4TIXYrHR1P8/upzf4flopuiWIRMpuw4lktZ5jpOiUi038C9nAplXn/bD8WNpupDa7B41x2TK+RLvsSd6WUTrZ9Mq3sw+NcglLpmagVT0eKxvTkVI7I9VEbXEPAqG7r4Ov7xm04CJhV0Hapu4KTyQycQG32g22/tbAwMel9yyYhBkPX9j8jMKdbmeiUuJ7a/2h7XeBcSLaz99XIk00pHZuWictWjMc5vv8HiKTIdTr5+6ozuG/HLr772tu8cvgo82+7h1vOOZPLp03p87Ghd9/Bf+dtWHWRqSFjgN9m5nPzSR/ljnlLuG6CnYW56fkdLo6fnHnRo3caDH68O9S+SMyBhjqmtG7khTfu4DPbN3PE7ug1NLQAMz8fY8rUXp9fKR3TCtEc3s3Wpp/zXsM3UzYtuatUm1PXOZ3fES6jsPXiLnuHj1xdpzpoViZ2w9NvuYHoesNoDxehGzmdSsh+v0Ml3sUoe/790Otp6kVjcBu+8OGk1CcZMoKzyfOu7HbcskZe56JIrK7tenHLh+MqJ8RQUUrx4RnTWP3+i5njKaA+EOD9jz7FZ555vtc96UPvvoPv5pvaA/mootZ6frL6z+RvfJdPbQ5y3bYg+7zSro5EEsyLGHu8JtdsDfK5LSEeqjT43vqDnHzPA8y59W5uWfs29X4/JVmZvHTyaSi63yJHfw584MOg9X55lftW0xjaimHFrnAfHU1L9YA+leaqpfrq/8mUiG2Gut4IljR+hsKWy/otJ45f144Uzcwgy7+oU4lIR4rfqEp43Xpbx8IkRHXgLbzG0YTXKZWkayaISB/pss2cGHkm5eXy2KUX8vn5c1DAPzdtZeEd97K2Iva7yjJN/Hfe1uNzRIeSvvXWPdhNk5fqTD7wXpC/HwwPbeVFypFvUwFAecDiR7tCfPC9IK/VmyjLpLl6O798eTWvHylHV4qV48bwj7PP4LUPX84lH/wg/s9+ASsvP+Z5rPx8/J/9AsaChb2+Vipv7TYQ0S2hxmV+CJuWmbQtoeLZSseu5aBG4Me9//cGbFr2cU2J6L6Ggh3Nkr3bE6FrB0mWfzGj6r/arZxh+RJUo4i+27iIhuBGGKYLGDm1vnctUWhodP+MCDGYOtr/3qXDDjpieHLoOt9bvoR7LjyH4gw3O+sbOPHu+/nB628RMiL3v8aO7d1G5DtTQHZTHQ9m7eXUfA0DGOOS+fMjjcyZH+F8hsXv9od5uNIguuNFQ+1eyg+uIeBvZFRWJu+fNo8PT5/KuJzsmEU2jAUL8c4/AX33LlRjA1ZuXiS1vo8Reeg+muYKTsJv39dpwSSrz3lsqUQpnUx9LAFVicd5QtLqMCfvhrZ5wz2n/Ze5ziHYmPCqJV3se9PttwCUuc46rikRqbaGwkjStYNEofXYaaUrd0JXjOjaxo2pu576jNW0uta3HbEwLB8mIfRhGNTOyP0q65quobf2yKYyEl4nMfJE2//qyt6//NJhBx0xvJ0yZhTPf/B9XP/y6zy17yA/fvNdHtuznzvOP5tpDfVxPUepv5E/LHCwsdlkTlZHu/toZZjKIHykTCfLJkH+cDXyhupEjBa/n+crWghb0Nx4hJ2bHmH/zudZUpjBn1eeyisfupRvLV3E+NycnlfL1DSMadMJL1mGMW16v4E8xI6mKWyMq/0RGcHuC9NIWnL8omn/Tq0w5ng07T/HMTNJNUu+6HvTNa3XpZegKxfZ9mnH9fyptobCSBJPVopLL8WlF/fy+6HRte1yBafgCI/qVm64zhsvcZ3e5zQkTVayFwlS5l5Fhm1st+O6cpFjnya7XYiUUOByccuqM/njmaeS43DwXlU1C2+/l/vK45siptqyZOdla2ht9+oB0+LPB8P85WCYC9YG+OehMC2yT/2wJCPzI0xlwOLOI2EWO2v514aN3L9jN7YMDyiFzV/HB6ZM4orZy5lRkN/eIAy2mNE0qy3l0up+cydpybG6rorddfuZMvcq8j0rOFi1nenZ15KRnddepr458XOGU0mZexWt6j0cNjeWXsJyz+0UOhazp3zjoD1/um+5mI7iyUqZk3sDVCV2RCLetms4zxuP7lpyOLwWn9dq/8wppbOH9cmunhhB7Cobk46pNvPyfoJpeDDCMrdYpA6lFJdNm8xJo8v42kuv8dKhI1y15xA7nS48AX/vXdYFhejTZ3Q7blPw1Ql2bjkUZp8vEtjfeTTMx0fZ+HCZTqaM1A8bEsyPEFUBi78fDPJwlYmJ4lcHdlJ1dAcAUxwhPjJjGpdOO5M8p3PI6xLfaJqkJXcW7z7a0eC+yHUSbmdWwuuZ0pRCV5nYdDse5/GNxvckGrzsq18HjjFM9Jwi+/0mQDwdKZUcSGid4pl6oSv3sJ83rpROhm0swSROQxKiqzzHXOpVRf8FhUiCkswM7jz/bO7atpOfvPku15WO5/YDkfv1nu6aXVdcieohK1ZXivOKdFZ5NFbXmPzjUJj9Pos/HQxzx9EwN0y2c7ZH7k+GAwnmh7kjfpM/7vWyuk7DUhqgaGk8SqC1iosnT+Tjs6aztLQYm564D3R0NK285mBPvwUkLbmzePbRlpHf1KCUjk1l4dA9eJwTk12dESPakXKkYi3eRmJGgZOh74yBiDzHPKyQjIwIkW76y5IT6StVzq1SiitmTefMcWP45suvcyXwy6P7GB0KdpQpKMR1xZXYlyzt87k6B/XPVEeC+gN+i1FO+f4ZLiSYH6ZChsGn1zey0ecGZQMFLU3lhGu2cOmYXD5y0cmMyszseR58ApS5V+G1v0FzaHfMcUlLjtX/yv+KzY03UupaKTcTYkRTSifbNhEvB1Ji4czeMgY0ZafIeSJufRStNCWpdkKIYxFvlpxIP6l4bkdlZXLn+WfzwJRJnPz628yqq6YsHOKU2bO4+tL3YXfFn02rK8X5xTqrijTWNJrMzu4Yzf/tvhCGBVeM0hnlGr7Tv4YrOWPDiGVZVHt9/PztNUz55x28fPgoKEVTwyHcVW/xtdJmnr/wZL6xZAGjs7KSFshHufSi9pvuSVlXJ21rt1TWeVVsZdkYVfc1bEZBpxIdK/8LIVJLdPtKm8pgjPsilntuJ9c+E7dtTLKrJoQYoGiWXOdgDzqy5Mp9q5NUM3G8UvncKqX4wPQpvPiRy8iZO4//5nm49kgVs2+7h8f37Bvw89mU4sS8jsGfupDF/eUG95QbXLw2yLd3BNnWMjwXZx2uZGR+GAgYJn/cVccDVbBly9O0tEa2svCojSx3NfHpOWOYXrBoyBa0Oz6ROhU6FpPlzO+n7MjTeVVs3cwmO7CIxtDzhPW6XssJIVKHUjpK2chxzKLAWcpBtiW7SmKIdE7RtYWKAMmWGi4GkiUn0ku6ZEB63G5uOedMntl3gBtee4uDzc1c9NDjXDZ1MjefeSqjs49tnaR8G/xhlp1bDxu83WjyTI3JMzVBluZqXDlaZ0WelvTBP9E3CebTWLk3wI+2VPOWNxNlywId8opnMb5pGx+ZMY3Lpk0iNwEL2omhE++q2LLyvxBCJE/XFF1HuIyJ/IaawLuMzT4zybUTx6tzlhyAOzADSwXxO/a2HemcJScDE+mk67kdU/sdmt1v0ZjxYtuRjnObClO4zpk4nlPGjOJX76zj35u38b9de3h2/0F+eNIyrlkwD/sA18BSbSP1J+bp7Ggxuf1omGeqTd5pjPz3jYk2PjZKwsVUJmn2aejJw/Wc+/IBzl0T5O2gB2VzEwq2kt+6i5/PzuGpyy/i6rkzJZAfBuLdR1tW/hdCiOToLUUXYEfz7yX9ehjomv1W2PI+8lvP77ecSH1dz5ndKMYe9vRbLpky7HZ+eNIynrr8IuYVFdIcCvH1l15j3m338PyBQ8f8vNOzNG6c5uCxxU4+NkonzwbndlrxflerSXlA9qpPNRLMp4mgYXD/9l2cdu9DXL/LotJWgqbbMfwNzDb28a8ZYe5YPoEzx5Si97BFhUhP0VWx237q+ltAVv4XQojBZlkGNYG3OeJ9nJrA21hWz3NI+07RjdjceCOWZQxRTQeu+9+WOnVLVT1nv3XvZJcsufSTzhmQsz2FPHHZRfzylBXkO51sr6vnrP8+zAcefZJDTc3H/LxlTsU3JtpZvcRJoaPjOv/1vjAXrglw3bYgb9YbmJYE9qlA8iZS3Ls1zfx2ew0vb3qBilYvAKVsY1xhGRcWmnx0lge3fWySaymGUnRV7G21f4w5Liv/CyEGoqdtl0R3Pa1qnWXOZjT/161s9/TrmfgcOzuVSK0U3VRcsTsdRLPk/GYlPXfcKFx6CYWOxRxhT6KrN2IMxdZxAzm3qUhTiitmT+fCKRP4xdtruWvbTh7YuYcn9h7gG4sX8K2li8h02I/pue1aRyAfMCPvjQm8VGfyUp3JWJfiA6U6Fxfr5NplXn2ySDCfgkKmyV93VnHv0TBeRyFKldFqL6DIbXLZ1Cl8dOZ4JuXlpuiCdmIolLlX4Sk6hX0VW5ic9Wky83Jlb1sxIqXKPsDpprcgbqL5CxyUJrFmqSWaMt/1pj5g1gJQG3iXjE5z4Dun3irTxdi6/+NI/k2EbOWxj0+BFN3e/rboit2LC26WgL4X0Sy5yPsnWXLJMFQdUcPl3OY5nfzi1BVcMWs6//fqm6ytrOYnb73LLZu28PNTVnDl7BnHFTc4NcU/5jjY6zX5b4XB41UGh/wWv9sf5s8Hw3xurI2rx0hYmQzyrqeQNbWt/G5HHVuCmWj2PHBGmhHlreKLc2dw9dQSsh2OZFcz4eTmvU3b3+xxLSPTmZvkyoihZlkGTaEdgE5d8D2K7CP0uu9ERhWPTV9BXGt4H5phAhOTUrdU0v+q1rCv9Q7GFJ7WfrRz6q1Ci/xndb+1SnaKbrqs2J3Kollykfexg2TJDb2h7ogaTud2jqeQR953AY/u2cfP3lrD4ZZWrn76Of6wbj03nX4Kp487vq1RJ2VofGuSxjXjbTxdbXBfhcHOVoviTun4zWGLoElMir4YOhLMJ5lhmjx74BB/2rKPI/knAkVodjDCAYrCVVw1xskZZXnoWkG/zzUcyc27GArRDiLTUrSGD5JvFaXUDWz0ute9JYzhetbUXYu92TWir/t4buYyWJCcyqWweALUhuAGLOvElPoMJENMyrwFOb5TaXK/DqpjTnnQqGtbsbwY6Jqi25PUWKS063QAR2g042t/zJ7iazA1L4meDpCunfRl7lWUulayr3EdluZnguf2tKl7ukpUR1T03O6pWkem+yymei5K23OrlOKSKZM4d+J4btm4hT+u28j6qhrOuP8hzpkwjp+fsoIFJcfXwZihKy4rtXFpic7GZosZWR2B+0OVBjfvD3NSvsZFxTqnFmg4NAnsh4qslJYEhmXxyNFWrn5jN5NuuZ3zHnyUJ7ZvwttaA60VLFMHuG1GkDuWlXHW6IIRu6BdbysER2/eZYVgcSwCRi3PVZzJmzVXYlh+DrTew3MVZ6bM9STXfXfxBKSbG2/EoudFykayrkFcbuuZaKY7poxhedsC1JGtcyq83SiirPFzuINT+yzX9yKlEamQots1zd9m5qFZLnQzs89yQ6Hct7q9DV5X/3XerLkypdrg/iil41A5uPVReJzLkn5uh7uubZg9XESm/4ROJTpvC3h8lNLRlZNs25RhcW6dus6XF8zjjY++n4/NnIZNKZ7Zf5CFd9zLhx97mt31Dcf9Gkop5udoODsF6ztbTQzglXqTb+4IserdAL/YG2Jri4kli+YNupEZJSaBZVlsaQ5zzfoalr7ayA/36awNl3C41UeOw8HHZk7jV5NCPHpiAd+fN5qSTHf/TzqMxX3zLqvwigEIm800hbYnLFAe6KrRct33rOvNXKZ/AZn++Z1KRG7mWsIHEl+5FNd1Tndp06fICMzts9xIFZsKH7096n/F8miKrlPrPtI1PfurKZFNkyordktnpRiorm1Tju9USpqu7rec6FDodvGr007ipQ9dyoWTJgBw345dzPzPXXxu9QscPI6V73vy02kO/rfAwdWjdYoc0BiG+8oNPrYhyMc3BmUV/EEmafZDbJ/X5NYDLTxba+JTLiALdAiH/Ni9R/n+iuV8YMoY8lyuZFc1ZViWwd6WO2K+7DMCs7Aw8Tm3R0ul1ArBIg1YFn6jquMePea7ZPDnjB7LFJGuQWt0BFVZ0bUyRuZ13/UmLc+7Eoswra4NMcfDZjMg60l0FjunW8X8v7dyI1X/KfPg0AsodCymkoMxx8vcqygqPo295ZuYlHUlLncOjdXgcS4Z6mrHJRVW7JZ5++JY9Ng29XAJSRvWv4l5ufx91Rlsqq7hZ2+v5ZXDR/nHxi38Z/M2Pjl3Fv+3bDHjcrIH57UyNK6doPGl8TbebjB5tMrgpTqTMS4VsxDfw5VhTszTKXVKGv6xkmB+CJiWRb3fzz3bdvLvIwZWwSxQYJph/E1HmGlv5VOTCzihaMyITaHvTU8BEEB+6/lYhDsF8xHSEyviZRHGJNz+c2HL+9AsZ0yJwQqUvcZRthzDYj3dUmGNwrb/5xG2VfVabriL9ybNpmUTHOK6pJt4AlRdZSR9TncqiGdV64mZH+810IweL3Aswulw08iWIaztwKTCit1dOyt1IwdT82Op6Kd2ZHZWioje1lFIhY6o4WZukYd7LjyHN46U85s17/F2eSV/37CZf2/ayifnzuI7SxcxPjdnUF5LV4oV+Tor8nWawxYtnRIL93hNfrQ7DIQ5IVtxtkfnrEKdYgnsB0SC+UFgWRb7fBbPVId5qCKAqtvBi9veJmSaOFw5jCGDUTRw6egMLpwzliz7se33ONz1tsBVX6QnVsTL6nJd2cx8ekqhHYxAuSG4AdwDH31KlVTYVBPvzVyWPh4vhxJdvZQWTxCX55gvI6Ftoinz22v+FnPcqUc61gpTZKT9WCR7xe6ubevo+m/Q6lxHbfbDfZYTw19/mWzJ7ogarlaMLuN/o8t448hRfrNmfXtQ/69NW/nojKl8a+liZnkGbwHubJsiu1Pk6TNgQY5ifZPF+maL9c1hfrMvzAk5ilUenVUenQLZv75fEswfo5BpsaHZ5KVak2drglSFoo2InYZQBiHTZFZhARdPnsilU/IYlT1a9oXvg4XZR/pdT6QnVgxMT6nFPTneQDlstWBY3vafXcFJFDddycHCH4Gy6Gv0SUYgehb3qGKLZDr1JBrEban7Tcxxl15Cpm0iGbrsM99ZmXsVBZ6TOVC5lWnZXyQjJ5dscy4HKrYmu2rHLbpid0XdGprrYEHBbynOSsyK3V3bVt10o1nd1wcaaZ2VI128284Nl63jUtGK0aP43+hRvHHkKL9ds563yiu5fesObt+6g4snT+Q7yxZz4qjB/56Yk63x77lOqgIWz9UarK4x2NBs8V6TxXtNYUY7FacURNomv2Hh1CIL7olYEswfg9awxbnv+mkxoxeUjmkatDQeIdR0iFPzFH943wWcUOzBJmn0cWkO7+60JZDO5Ko/cTTvD93S6iOkJ1YMnMKGho3el44bnEDZtEIxPzvCo3CHphKZrN/x6j2NPqVCKmyqiudmrrFFRvR6U+ZeRVHJ6ewt38jEzCvJLPgShY7FHKrfmeyqpSSlIt/dHueJZDhzCPr9Sa7R4FFKJ9c+k2Z2UuA4IWHtiXRWiq4Gso5CtCPqUGgtAb/FctkWcNCtGD2KFaNHsa6iij+u38iz+w/x6J59PLpnHyeNLuO6RSfwvimTBn2KcLFT8dFRNj46ykZFwOK5GoOX60yW5nW8zt8PhXm62uDUgshWd0tyZbu7KAnm+2BZFgf9Fq/WmdSELC7N93Hv9l3cs30n3tKTcDqzaao/hLfxEAuzLS6ZNJazTlooafTHIGQ2tf9boWMzc9rSoLuTnlhxTJTCpRcTsmoZykBZU/a4Ekx6G30a7BGIdN3PuSfRm7n9TeswCTBebuYGpH1Ot3Mh2c7BS50UIh7SWSm66mnbubF132W/5/8wtVa6ZrIppZOhjyas1eJxzktexYe5haXF/Ofcs9hZV8+f3tvEI3v28fqRcl4/Us74nGyuXTifT82dRa7T2f+TDVCpU3HFaBtXjI49/naDSUUQ7q8wuL/CwK3B8jyN0wo0lufrFDlGbmAvwXwX9SGLdxpM3moweavRoCLQ9gvL5OsP3Y1pREbdXI3PsbQ4j49PGs+5Jy+l0OWS1I/jYNfiW2hjVs53mJTV+wJEQvTFpmWTo83ApZXEHB/MDiKbykIng8jN6bGNPkWD1sPhNfhaYE7udyktGHjQeiwr6qc6pXQcWh4ohcc5JdnVEUIMgKRLi856WvTVbnjQzey2YL7nciIxphXkc/PKU/nOskX8a9NW7tm+iwNNzXz9pdf4wetvc8Ws6XzhhLnMK/IMeV3+PdfBu40mL9eZvFJvUB2EF+pMXqgzKXaEeXqxsz0OC1sWthEUk0kw38lv94W466gRc/ttmgatzRU01R1EAUtKizl/4gQunDSB0qwMmQc/SLJtU3CF+1pxWaErV9IC+eE0ujkSWZaBZYUImT503cbKkmc55FtPwKsYn/kRxpT8ZlDPZ55jPkeA4xl9UkonwzYOH0fItc88pkC+v3mImSwa0HOK+HVuMyyrBCwz2VUaVqRNTl/Rzso91evIdJ3BFM95cv5GKFn0NT2UZWXy3eVL+PqSBdy/fRf/3ryN3Q2N/G3DZv62YTPLR5XyxRPm8v5pU3DZhia0dOmR+fOnFOhYlo1trRav1Bm8UmcyLVNrD+RNy+KCNQHGuzVOzIv8NyNTDet4bcQF8yHTYmuLxbomkzWNJt+ZbGO0U7G5ppZNRxuxGI3PW0dzwxGaGw/T2lTBrIIcLpswgYtPv4gJuTnD+oJIFoXWb/pdjn16Ur7sh+Po5kgSPX+jzR8SNuoxrEaer/wGU6wbAReZtrGDfl1l6KOSOvpkWQab6n9Kf/MQl9oeGNJ6jFRd24wp1j/Y1fx3xuWdBIxNbuWGAWmT059SOrpykWUrxeOUz8RIJesopBe3zcZVc2Zy5ewZvHLoKLdv3c5zBw7x5tEK3jxawVdfeJWPzZrO1XNmckLx0HXAKKWYlaWYlaXx+XGRAD5qV6tFVRCqgibvNpr88QDk2WBprsai3EhwP849vNYzG/bBvM+w2Nhs8l6Tybomi03NJv5OAyTXv7OLd3a+zZ6GRnTdgdJ0rLCfRSXFrJw+hvMmLGFiXq4E8AnQseLyr2KOu/QScu2zcOrFCa9TPKObTuYmvF4iPr2fvwqqA6+Rx8ohe+3o6NPRyrW0NsKJhf/B40rM6NPO5r8SsDqyXOzhMnTTjd+xt+1IZB5iC/uILMwnBktv11zIamZN3bXMNG/FQfcVvEV84l35WgiR+pTSmZ37HdbWf6Wn3wKyjkIqUkpx2rjRnDZuNBUtrdyxdQf37thFRauXm9dt4OZ1GzihyMPVc2fxsZnTKHQP7Xde5xhtWqbioQUO3mqMTJle02jSEIbVtSara00+PUbnS+Mj9z2t4cjW4tMzFfY0Xkxv2AXzdSELy4LCtoUQ3mk0+eq22NWldTNIS1MFdQ1H2Fp3gGCgGYeusWJUEWeNG8uqCWMpy8qUAD4JytyrKC49gz3lG5iYeQWZBV+g0LGYo817Y8olIsUy3lVWF3LPoL6uiJ9lmRiWlyPex7tdB32fv7bHY9EU2kEBQ7M1l1I62fbJtLIPj3NJ+wrZQ6nct5qdzX+MOVbQciEOo5hDhbGZApGFJ/OGvE4jRf9tBviMI2RZJT38fmjrVRtcgz9YA5RgpWvKv2XFvfK1ECL1lftWs6Xx5z3+TtZRSA+lWZl8c+lCvrb4BJ47cIh7d+zixYNHWF9dw1deeIVvvPQa504Yx0dnTeeiSRPJdAztIuFKKSZkKCZkaHy4LJKRvaXF4u2GyMDusk4r5K9pisSIbg3mZWsszNVYmBMZ8c/QO2JAyzQxdmzHaqhH5eWjT5+BSqHdytI6mPcbFttbLTY3m2xqMdnSbHEkYPGpMTpfHm/HME0Mbw1u3ARaqjhQuY+W5goCvgYAsux2zhozirPGz+es8WMokEXsUoJqGynMdywgx1nY7feJSrHsuspqXuvZtDrXE7JFF2KJjG56rcOAY9BeV8Sn3LeaI96tOMJj2Vr/f0DsddD1/GFp2Ix8DK0x5nkOex/G6QsMixuGjmAylkIDq/sXj13LIZiIio0QXa85Z2gCWf7O6xJYmFaIgFmNU0vMHNDO7aVmupnKP9nU8GMmZVyYdte836yKeX+zfEvQrSwaM15sO9Kx8jWM7vE5hBCpobcsm6jZOd9JuzZqJNM1jXMmjuecieOp8/n47849/HfHbrbV1fPY3v08tnc/mXYbl0yexEdmTuPs8eNw2oY+48KuKU7IUZyQ0/0eqD5kkWODpjC83WjydmOko1sDJmcobphsZ9aONfjvvA2rrq79caqgANcVV2FfsnTI6x+PtAzm60MWX9oSZJfXItxDG/BWVQNvbl7HM/sPUuuL3Rt2en4eJ02exeljR3HiqFIybDYJ4NNIIlMsu66eWtT8YUCjwfZMzPGw2YoE84kVvQ6KrY/HHO98HZhWbJiq0NGsnlO9oqN56Z7K1zWY1Ew3Wf6FPZZ16aVk2SbSyoFEVW/Y69pmZARmk996TrdyhpWYPct7T/lvbP+cpNMc/q7vW7Z/MTazoFMwHxEwqnFIMC9EwsWbNdl/5pxiS9PPKXOfnfbfyyNRgdvN5+bP4XPz57Ctto7/7drDo3v2c7i5hbu37+Tu7TvJdti5YOIELp82hXMnjiPLkfj76PeV2Li4WGePN7KW2rpGk43NkS3wdnktija9i+9vv+/2OLOuDu/NN+G+5qs4li5LeL27Sslg3mdY7PJa7Ggx2dFqsbPVZJxb8dNpkROda4PD/kggn2+zKFQ+/K3V7K7Yz86Kfaw3OtLqs+x2lo8q5ZTRozhj3GjG52Sjp1BqhBiI+FMsB6Pxj3f1VJuWiXHcrybiFe/0hxPyftHLM2g4wmUxRzrvY5vOugeTcylr/CKNrte6lZ2TewPKK23hYIq3zdCVa4hrEl/K/+bGG5nO34a8LoMl3vfNqRf1MblGCDEUBpI12bXjuaTh04T1OryOrW1HrEH/XpYdMJJjZmEBNxQW8H/LFrO2sooHd+7h6f0HqfL6uHfHLu7dsQuXrrNqwjgunDyB8ydOYHR2VrfnMS2DCt/beMNVZNiKKXUvQxuE86cpxdRMxdRMjQ+13RpWBy22NIbJ/untvSzLCCZw6D+380vnfKZl63x2nI0cW3IGh1MqmP/hrhAbm00O+Cy6zuhrCEf+X9nq5aVDhxnb2sy6Iwd4sepITDlNKWYV5rN8VCmnjx3N0rJSMmX0fVgImg0djb+lUdhyGXVZj2Kp6Ajs4Db+8a6ymmGNIUDVcb+eiE/39HnQzCxMraX9gN+I/D5y/ipiHm838hlT9y1anRtijg+HfWy7BpOqfWeI2PZvWva1lLlX0eStTVDNRoZ42gxN2ROSYt/1c5Lpn4/PvqtTicjnJGy14GDoOxcGg0srjnvl6xrKE109IUasgWZNdv2+dRglKOzA1pjjg/W9LDtgJJ9SisWlJSwuLeHGU5azpqKKx/fu55l9Bznc0sKje/bx6J59ACwo9nDBpImcP2k8S0pLONj6NG9UfZ/WcEe7nmkrY0Xxj5mUff6g17XIoTi5ZhfeTqn1XWlAUUsdoR3buW/MDK6Z0BFS/+twmMM+i+lZiikZGpMzFPn2oYtDExLMW5ZFecBir9dkj9dir9dij9dEU3DbPGd7uZ2tJvt8kYag0A7TMxX5KkDQW8fhmsPM/Pd+ttfVxzy3AmYU5LOktIQTy0o4cVQpRRnuQVu8TnryUodpBdr/bTdK8LRcite5CZ9jR0y5wWr8ldL73S5vTu4NqAbpKEqkrudXt7IZV/td9hd9O+Z40KxtO3/XdHkGDWV1T+caDvvY9h9MRm5gpmV/PrEVGyHiaTPc+mhQCqyhHTvu/DnRjTzG1F/P4fxfdytnWqFux1KWUvG1yfIdLcSQ6nxv7NAK2dzQ/1aonbMmE7m/vOyAkXo0pVhaVsLSshJ+tGIpm2pqeWbfQV44eJhNNbW8V1XDe1U1/PStd1kxdg8fn/9fIPLVGdUaruDZo5/l7FH/GJKA3mqo778Q8LmcZraMs+HstBr+C7UGW1ssOo/z5dthsltjcqbiWxMHd5A5IcH8uWuCtPSwyIFNRVYZjG4H8JESg5119RytO8J7+45wW0UlraHYGw0FTC/IZ3FJMcvKSlgxupQit3tIUuelJy+1aMrZfyEGNyiLbpfX137hdQ0yApRI3UafLQ3NzOixnMe5jEX5f2Bt/XV9PqdLLx0W+9j2H0xGgiEJdoZOb22GXctmccHNhJpyE1KPzp8TReR8K6v7edfU0K4sPNjiaZPFyNZ1EAa6p+yKY9fTvXFntrAHzXIQtB9tO9I9azK+zMfj/16Od1recFgzJ10ppZhX5GFekYdvLl1IldfLs/v3s772JQ43H+DCGc+0lev6yMj5e6PqB0zIOmdQUu5j6pWXH1e5xeMLOXFMbDj92bE2Njeb7Gy12OONLM5eH4I1IZPygOLbkzr+mK9vC/Lbmce3XkBCgvlWA2x2GOdSTMpQTHIrCvQgvtZ6fv1OBRuqq3m3oop9jU3dHptptzPXU8j8okJOKC5icWkxpZkZQ75tnPTkpR6Hltep8e9JR4rlYIruF77r6DrGut/HTM/HJEMjiWJvAnoSex2MyjgXgMY++lyG02heb8GOpuzSbiVItM04bKzF1xqZ7jA163MUuEdxkG0JqUO8nxObSr9AJ/r+HmhdSzgYYrnndmmTBZZlsLP5r+xruZ2Q1bFryYTQL3Eymu4dnGKg+luBHsDTchk2o4DDhbHr1nTOFuq74zliML6Xu043Kmi5mFbnewTsh9qODP7cfHF8DPUaxfk3cmpu986i/Jbz8Tv2dMrItWgNH+Wqp3/HjPzTOXn0KJaWluC2H394q0+fgSooiFnFvitVUIg+fUa346cV6JxW0HHt+oxIVvpen4XZKSvPsizWNh3/VrEJCeZ/NN5LQ6CKTdU1rN9TzW1VNVT7fN3KKWBKXm57D83i0iKm5+fhSvCcd+nJS1XJS7FUSkcpnVzHbPKdid0jWsSKe/pDp+tgVMa5tKh3esxsHptxKWXuU4euwkkQDXaOVq2ltQE8zuXoRjZl7pnJrtqIoZROpm0cAdXWi6QSu9hgvJ+TUHyZhClHKR2n5kHXQ3ic05NdHZFk5b7VbKj/HiGrodvvLEJYGKjUWiaqTzWBt1Nuemf/K9BHKEtvzwbqrGtWXW8dzwBzc79Lmfus46ovdJ+WV9ByIRbhTsF8z+VEcvTXWZTnXUmzmd1teu32+r3cuSWy9otd01hUUsTi0hIWFBexoLiI2Z4CHPrAPkNK03BdcRW+m2/qtYzriivj2m/erStmZytmZ3f/3Z9nHf8q/glp2S777/2EbbEvpSnFxNwcphfkMbOggDmFBSwo8VDgciV9tfnuewWPJzMwn7qsR9uOSE9eskQb/+3V/4g5LimWI0v0OjjSFLtYTl/XgVI2sExcegmmYVLiOpOAVyPbPi1R1U4opXRy7FNoZS8u3UPYkB3lR5ro52RbzZ9jjtu13PYsjURlCggxVCIBQNe1UdJTwKzFsEzerPlU+7FUmd4Zc29sKcoavkxN9v2EbL1l/0T1njUZ7Xje17AOy+ZnTN5ymuugyHXyoNQ5kXPzxfGJt7OoJ5dMXojHUcy6ymqqfD7eKq/krfKO69KuacwpzOOU8XVMyzeZkjeJE0vPItfZ83bF7Y9bshSuva6HfeYLcV1x5XHvM69UJMg/XgkJ5jNsNiYVe5ien8/MwnxmFxYwqzCfbIcj6YF7T7r20GUG5pHfcn6nYL7nciIxytyrKCg6iQNV25iW9SUycvJSpudaJE6ZexVaxjSa/NWgzLhTbXXlQikDl55PAPkMjzQ9LWo6nJW5V1FYfAr7K7cwKetqAg0wN/f75Lg9ya7aILAImU0c8T6eUiOYInE6AoBYGYE5+O37MLXWJNTq2BiWj5bQDtxMiTneeXpnqevsJNUu9p5Xs1zk+E+kxfVOP8F8/1mTSunYVTY2vZBcexHN7Oix3LGId1ei4f49kA66T4m4EFdoMkfz/9DHoyLn7+pZH+STs3Usy2J/UzPvlFeysbqGbXX1bKutZ1LBJj4w5zkK3M0A7PfDum3ZvLLvYmzWKUwvyGdGQT7TC/KYnp9PUYa7PSPcvmQptkWLMXZsx2qoR+XlR1LwUyh+TUgw/8IHL6Y0vyBttoeTnrzUF/1S8LhWkOHsIW9FjAhKaShlR1MKj3N+sqsjUpzfqOK5ik91W9R0huMHQE7yKjbEFJGbjgLnYsrZg0pwyv9QKPetpty3D81wc6g+EsylygimSJyG0OaYz7MjNIb81nPJ8S+nOvtuGjKfT2Lt4mdZBiGzgR6y0+k8vbPEeWZiK9bJsdzzJjtr8lim5Ynk6DpAajM82MN9XXPdz59qy/qemJvDh2ZMBeBI69Osa3io2zTLfFczl8y8i7+v8fL43tipWvlOZ0yAPzU/j/H5hUwYP5FCtyvl4tmEBPPrGi9joTt9vmClJ08IIYYXkzCNwQ3dVmD2m5XsaLqJcfwgSTUTAxWdV1lmfR6NjjTJziOYNmYlsYYiUYJG7OJU7tBk8nxnYBKkl8g4JdUG12BitP+smRnYjWIC9v1tR6LTO9eSrL8rnkU1nVoxHucKwqHUWZhSdsBIDwPtLIrn/FmWwdamnwPdV8NXCrDgMwtf4c39F7KvoYX9TU0cbWmlPhDgrfIK3irvvghfhs3G+JxsJuTmMD4nO+bfY7KyKMnMGPD8/OOVkGA+aNak1Qrw0pMnhBDDiYVpBXr9XadS7aPYIjXFu0DtCdyZ4JqJZHDoBcmuwqCIjEp2tD253tMoaL2APSVf7qFcaWIr1yaee+O5ed8FnwfdTK2FKaNz83eXr2OM+yJmeD6cEh0NokM8A6kKjRLXGUz1XBDX+Ytd50FjfM1Pqcz9J37H3uhTouu1fHOZHY8zsvNRSzDI7oYmdtc3sLuhkb2NjRxqauFoays1Pj/ecDiSvl/X++qxhS4XpZkZlGVlUpqZQWlGx7/LMjMpcrvxZLgodLmwD0Lgn6ClPSMnJZ1WgJeePCGEGB78RhVWp5sDZ3Ai7tCkbim4DcHN5LtOSHDtxEB0nVfpCI/GHZiJzxldyC8ygukzyoG+FzcS6S/PPqefACA9REYla9t/VtjA6n6L7tSL8CawXl1F74231P0m5njne+Ny9iapdn2L7EpkI8cxiwJncjpERO/i6Sxy6IVk20fjcY6J6zljtkPEhis8HrtRir/LNdq5XJbDwQnFHk4o7r6uTGswxKGWFg41NXO4uYXDLS0caWnlaHMrR1tbqfb5CZsmtX4/tX4/W2p739YuKtfpoP7Lnz2u1P0E7tORfivAt+8VHF6Lz0vKpAwJIYSIn2H56HxzkO1fTLZ/RbdgPmj2/8UrkqvrvErdzMYVHt8pmI8wTC8SzA9/8exXruh5q7RUUuhYTBXP9aL3iZwAADONSURBVFEiOr1zEfWsT1S1elTmXkVRyensLd/IxMwrySz4ktwbi0HR30Cqvy5jQM832GugZTrszGibS9+TsGlS5/NT4fVS1eqj0uulyuuj2uej2uujxuenxuejIRCgIRDEtCwaA0H2NjQxOT837r+rq4RvupluK8BH9goeS0BV4nGekOzqCCGEGCBduQF/v+Uc2vBI2R3O4r3p0rWMTjOQxXDWWwCg42Za9rW4GqYTCPuSVLv4KKVj1/IIcLSn3wKpNb0zWo8C50KyndJuisETHUg96FtLyDRiBlL3sWlAzxXPOg+DuQaaTdMozsygODMD+viqsiyLsGnS4A9S4/fhC4eO73WP69HHIGjkUe/vbe5iavKFw1iWlXb1TnUhw2xPfW0JhQm1vb+WaQLQGgpjtB0LGSYo1X4OwoHIntnNwRCBBJ0Xy7LwhsPQ5fV8YSMh14cRinzYm4Mhgr28Vuf3xd+pjC8UwoJhdw372957E9Xv32a1LWVqmBaWBQEjcqvvC4cH9X0JmxYYZvtz+oOR81bvDwx4KxNfOAxAc+jYrnN/2zUTMAxM0+z2d/ZXN7Pt9VuCIUL+AIZlETCM9ucx2q43k9hry2x7b1tDYcJDcM11bQ+ifKFw+9/TmbIKUT3eJNOl3DSaOn+G2v4N4A11vFfx8oXC7ddd9DoLmyYYbdetZUHbeTEtC3+n9zb6uOh7D53OR6jjWFTkuu65HTKCwfbnij4+el7CVuz12ht/2MDop50LtD1/YyCIZpjt74HZ5XGmFZnbHmq7ToKmidXD9Qkd13C47drLMufi0EoImlW91ELh0EpQVhGG2dxnfYOmidH2Ptf7A2id5i4aXb5jOn4OEvAHCBgmRpc6d77u/XrPbfHxiD6/YVkEO10rxyLY6Vzpx5mdHjRMwr1cG329TtdrPl6mZRFsu09oDASxoXCp01iUdzL14Q0YjaApO+MzriXDUUSdtSvm8c2BIMFe2sSY12l7vzt/XqJCpoXWy+cm1HbtNweDvZ57Xyjc7TtZ4SJTn4YZin2jHFoJkzKux6VOay/fGgphdnqsYZoxbfNQ6+u9CRpmv+9tV2HTwjRMmjtdL7ZeMi38YaNbmxIvy7L6/c43jvG6FINL4UHDi25NpSEQBiLfJf7wwM7NhIzr2d7ydXpL3Z/gvr79+RPNpmuUZmZG7guO53kGqT5xULj1UmbknpIyPYvxqmp04FeKsszMZFdlWPHbdLAgRGQbiNy299c0DGqAPKeT/LZjfpuO6nQO/JpGPeBxuchM0HmpUYpchwNPl9eramxIyPURCgapAwpcTnJ6eS2/UtQTWXyj8/tS09xMKwy7a9i02wgphab1//7XKIVlWdg0hWkpMmw2/ECOw0HRIL4vrbqG025rr0+910szUJqZiTbAYL6q0YEXKHS5yTqGOjb4/TQDGbpO0DS7vUf91S0cClEL5Lsin88WTcNts7c/T0DXqQM0Yt9/IxymlshnOG8Irrmu7UFUbWsrLXS/zk27A79ytf3U8xc6QHFGFkop6mj7DGVkUNP2u1yHs8fn7ktVYyN+pbDouM5aNR2nzQaWhaEUNk2jLDOTRk0jy97x3tYphQEUuFztn/f28+F0tbeXUU2ahtlLOxS02drbjua2x0fPS6sWe7325qjd3uvzt9chGKQJKMnIwGa3R94Dh4NAl8fVKYVC4bTZCAAu3YZh9fzeNvh9NAN2TSPDZmNUVg6LtB/wZs2X6O1cLir4PnqNE0Nr6bO+Qd2GX9MwiHwG9E7BfPTaLnS7yMrM7Pi57bMYttkIhMO9Xvcud0akLXYP3neUYRjUEhn9cdv6P2d9aQ6HaQSK3W4cLle/5fsSttsIhEM91qev12nUNDI7XfPxatQ03LpOECjOcON0dUyncHmnc5i9KDRynS48mZk0axqGUkT3pvK43VTbbIQsq8/Xjr7f+T20Yz5dR7fpPT7eZ9MJEblWejv3NS3dv5MbNI0MexHeQAsTMz9Mq9fktOK7KHIuab9vtiwrcn/kcFLQ6bHNmkambeDv5bGKXuud25KokM1GqIfvm754dQ27zUaBy9V+vTjdPU+TqXDYCR3jPVedUv1+50fb4tJhdr+Ubkybnda278eoRhX7PRmPssxLyHe52FD785jjbr2UE/K/x5iMcwatzsmSoGA+8gV7csmPKcxIvw9Hsy3SP1jgPr4vPBHrcKfgIdvpaH9/jbYe3yyHvf3YYU1D07T2n72W2f64vASdFwVk2O3droMWuz0h10dAi3yOsh2OXl+rxYj0LOY4HeR2KuO121BKDbtruNZmQ1MKLY6/rW0XEjSlsBS4bJHmr6dzejxsmoZT19ufM+iIBDUFbteAg/mWtoAo5xiv83Dba9t1Hcswuv2d/dUtqEeORa85m6bhtOndPodKxV7/4bYR5M6f4cHUtT2I8ttt7X9PZzU2HV3ZKHYvoNEWu/BRpq2MRTnforI2shBN9H3I7vIZyuz0XsWrpe1zh2XhttkocLvQNYVT17EsC00p9La/Q1cKV1uZzrI7vYfR89HT+6prqtd2yN8W82Y5HN0e3/V67U2dTcfbw3vemdkaeY/yXE4cba/VbLd1+3xqbQv9ONuCZ4euETJ7/gyH256n8/tT4L6ELIedbY2x8+QzbWWsKP4Rk7LPZ2/jXpr7aRfKdY2wphEg0mFls3XcErV/xzgc5Ltd7T9HP4tVNh1Di33+UFsWQZbDTqbT0f74wfqOin6udKVwxHHO+qL8kbTzXJcT93HWr0rXMXq5Nvp6HV2p9s/FQET/foBcp5OMTo8PtH1OlVJk2G3t7Va0/YfIOWzUdeihTeysox3r/p17SNew9XIODrW1IV2/hzvz2bu3J3pb555SiiL3RPzqEDPyT455XDRjJ7NLG9C1bR5qfbXxFboGet9tRVcH2uqf0/a5yXXFntfOGm02Go/xfkbFcc1pvbTFIrFqbDqBLu2Krilcx3CdF7gvYWbuebx+9A3m5H0CT/F1lLqXoaXZ4HJvEhLMZ9hKOG3UD5mUfX4iXk4IIYToJtNWykcnvc3m8Os0hkJcNPa/lLqX0dzUQiXvJbt6YgAmZZ+PP2s8Vd5qpua8n5JRnxpWN2dCCCEGT/S7ocS9mJKMkiTXZnAlJJj/wITnycrMTsRLCSGEEL3SlE6WfQxerYpRGScmuzriuERG+D3OOYzKGJvkugghhBCJN7Ccz2N9EekpF0IIIYQQQgghBk1CgnkhhBBCCCGEEEIMHgnmhRBCCCGEEEKINCPBvBBCCCGEEEIIkWYkmBdCCCGEEEIIIdKMBPNCCCGEEEIIIUSakWBeCCGEEEIIIYRIMxLMCyGEEEIIIYQQaUaCeSGEEEIIIYQQIs1IMC+EEEIIIYQQQqQZCeaFEEIIIYQQQog0I8G8EEIIIYQQQgiRZiSYF0IIIYQQQggh0owE80IIIYQQQgghRJqRYF4IIYQQQgghhEgzEswLIYQQQgghhBBpRoJ5IYQQQgghhBAizUgwL4QQQgghhBBCpJkhDebdbje33XYbbrd7KF9GCCGEEEIIIYQYUWxD+eRKKTIyMobyJYQQQgghhBBCiBFH0uyFEEIIIYQQQog0I8G8EEIIIYQQQgiRZiSYF0IIIYQQQggh0owE80IIIYQQQgghRJoZ0mDesiy8Xi+WZQ3lywghhBBCCCGEECPKkAbzPp+Pq666Cp/PN5QvI4QQQgghhBBCjCiSZi+EEEIIIYQQQqQZCeaFEEIIIYQQQog0I8G8EEIIIYQQQgiRZiSYF0IIIYQQQggh0owE80IIIYQQQgghRJqRYF4IIYQQQgghhEgzEswLIYQQQgghhBBpRoJ5IYQQQgghhBAizUgwL4QQQgghhBBCpBkJ5oUQQgghhBBCiDQjwbwQQgghhBBCCJFmJJgXQgghhBBCCCHSjATzQgghhBBCCCFEmpFgXgghhBBCCCGESDMSzAshhBBCCCGEEGlGgnkhhBBCCCGEECLNSDAvhBBCCCGEEEKkGQnmhRBCCCGEEEKINCPBvBBCCCGEEEIIkWYkmBdCCCGEEEIIIdKMBPNCCCGEEEIIIUSakWBeCCGEEEIIIYRIMxLMCyGEEEIIIYQQaUaCeSGEEEIIIYQQIs1IMC+EEEIIIYQQQqQZCeaFEEIIIYQQQog0I8G8EEIIIYQQQgiRZiSYF0IIIYQQQggh0owE80IIIYQQQgghRJqRYF4IIYQQQgghhEgzEswLIYQQQgghhBBpRoJ5IYQQQgghhBAizUgwL4QQQgghhBBCpBkJ5oUQQgghhBBCiDQjwbwQQgghhBBCCJFmJJgXQgghhBBCCCHSjATzQgghhBBCCCFEmpFgXgghhBBCCCGESDMSzAshhBBCCCGEEGlGgnkhhBBCCCGEECLNSDAvhBBCCCGEEEKkmYQE8wGjMREvMyQCRgNNof2YVojDra8SMBqSXaVhIWA04DfqaAmVA3Ck9bX29zd6vVT53+Nw66s0BQ/gN+poDVe0lwkaTQAc9b6RkPMSMBqwMKkNbIl5vYDRQGNwX0Kuj+j7UuF7p9fXCpnNABz1vt7p/WygIbgHyzKG1TUcMBpoCh4gZHoJGs3sa36617+tKXgA0wphYeENVxIyW6j0rgUsDrW82OdjB1qnoNFEc+hQ+7VbF9gBRK7xgbxGU/AAR1vfBGBX40M0BQ8MuC61gW0A1Ad34Q1Xd7t2+6tbsP2ae7ftPWqkKXSw/XlaQkcBMCw/62v/0l7Hjs/w2kG/5qJtR+f2IHq8PrgLoNvxptBBDCtAfXAXOxsfoCG4l5DpbT9HVb4NAFT61tISOgJAufcttjXcCYCFxea6fwNW3H9PtG0wrCCGFaTavyHyHpqNNIb2URvYQtBoxhuuZmfjg4TMVhqCezjc+ipHW98gbHkBeLv6Z2ypvz1ybZmRdq/SvyamHpE2sh7TCsWch6hoe3nE+xrQ0W42BQ8QNDuu197+rsi5PkLQbOm1XOR629r2/G+1tz2Nwf0YViCmPTKsICGzlUrfOgAagnvwGTXdnjtgNFDrj1zDPqOGhuDumOdpDR8FLA61xn6GI23DIcJt57i3+raGy/GGqwE40PJcTLlgW1ta7nuLw62vtl/rR71vsK/5aZpDhwkY9THPHzQ7rvsj3lcj5X2D9x0V/Tz6jBpqA9uOud0KGA1U+zcBkc/28dQt8j5W4u/yXvT3OgGjgbDla7/m461DwGggZLZSF9wOdP+s1wd2AmBaYar869jZ+CDecCWWZbQ/x9b6O2gOHerxmuss+n5X+tZ1ex2/UU9r+GiPf7PPiFxT2xru7vEcRb6Td2NhxlzPIdNLU+gAhhXgiPc1DCvY4/MDVPs3dHlsC02h/Qn7jg/08d54w9X4wn2/t7HP1UDAbKQpuJ/dTQ8DUOFb0+vntil0kLDpG/DfGjAaMK0wdYFtfbYLYcsf09aIxIu2zwGjMeY6D5s+GgfYZnQ8Z2xsMZzOrbIsyxqqJ/d6vVx11VVc97ulTCs6D49rzlC91JCo8W/mQMuzBKqLCNaUkjVzAwqN8Vlnp93fkkqi72vzvtGETC923wS8JU+Qla+h0LBMhblzFc4xewll7aAxuJfsyg+ga3bc4/fiC9dgBTIw952Ce+IO9MyWIT0v7fXdMg9H6REchdUoNHIdk2gM7k3I9VHj38y++pdo3TEH1/hd2LKbur1WjX8ze2texbt7Ju5J29EzWvGFawALvXEWwYoxZM1+b1hcwzX+zWxruAvf0TJsLVNAGbSMv418xxRm5l0R87ftbnqEjXV/J+/AV1CWnZBejWa5aHWtI8d7Gt78lzDyt/b42IHW6UDLs7TumYrm9GOWvktjcC85vpOxyueTOWsdmqbieu93Nz3CtoY7sTfMx1V3Mi1lD2C5K5mZdwVTci6Juy4tdWAdXUAwcweakY1jwgYybaXt126wPo/AkYk91q3Gv5l9DS/Sun0uavRaGp1vknnkA+iuAFljq6kP7KTV20zekc9ian5aJtyCQmNM5mkYYYOWbfNxjd2DLbdh0K656N/l3T8JlIl7/N6Yz2KwLp/A0QlkzVnbfrzc+ya+o6OwN08n6N5PTeG/yW+6hAzvCWiTX46co/BCrIPLURNfoTl8gKxDH8db9iiVPMPE8j9jYVGTezeexo/QMunvjMo4sc+/p/39r3Rj1k4AFN7cN/DnvkPO0Y8TtldgWiZO/1Qs3U9V6e8oLf8Wek4DzXnPUO1/j3Hlv8NmZVFe8Af87u3k2ifjsS3A3L0S17jd2HIaUf/f3r0Hx1XW/wN/P+ey99yTNiUlpW16hVKuIsiP7wxfvoD0IujYMhYRFRl0cNQZh3EEvIyjMlYGBMZRGB3KDx2xFQRBvj+KxVaEQinU3tN7Q9K0TdIke8vunj3n/P44e052s5vspuxuss379U+bPXvO+TzP83mecz57SSBBEio6I5vh++h2SMlqhGb/BgKSkyu9sd04euafiBy4CJHpr8B/ajmi0/4XSk0f4voAqrq/AMWtwzPzeM5xstsS656BZLgG/nl7c649x8MboQWrEOtog2/hfxDHSQAm5DNLoPVNg3/RTgwlexDTz0A+fCtMJBFzH4Z/6FJEPTuhmvVwz94Fv9KMWYH/AYCMHNZdPdDdJ+Fp6YSAQEzvh9l9GdTwPMQb3kKiZifqXG2Y4bsag4kjiJ1sRnKwHv4Fu3PGu2/gD4h9NBtSoh6y1ojgBb9FnWcWFtXeAQA42rcZkYMXwnNBOxKeIwhG+hD46A6I1ncxqGyD5/R/w6VPR2DuUSfXBoaOI7zvYojzPkRI2oNA5x0QrVvhr1Y/9hzoje3G3r4/wTh4A3S1D4arF0PTN4573XLGKuxH7Nh8+ObvguxKnlVs9rGGOs+HkfDAN6fdaSeAUc9jbwsfWASlegDu5q6C+scet8Thq6C7TsEVWYDw+f8XNf4mZ9zDvQrMk0tgiiRCta9j0P8Gpp38DlzJGRBQAAAnmn6O2sjN8JgzUD0397l7Y7txbPAfCO9bCvf5R6DW9GesNdGjcyHkJDytRzPavG/gD4gdXwB16AJEzlsP3XMqY4zsPkv0NSCeuiZb86If8tFlSCp9UOLnIVS9CVWh/4Iyf3PGnDgW2ojwnkvhbjkGta4PQ8keAALmsf8D2ReG+7yPSn6Nz9c3Qx+1wky64J19IG8szv3V4VYk5B5oVXvg7/4cxJzNCPiqc64zsVPTkRxohH/BroLb6pxn7xK4pp2Eq/HUqOtYuH0xlNozcE8/cU7cL1UaZ5xPtECPBuBr2+fkuXHkv8a1ZqQf81jwDYT3XgL3zCNQa/vPqbEtyzvzJgyrKK6gV0Hi+gCOhzfChJHxeCW2ZTKx+1UzotCMaNoWE2fi7eiL78NA4ggAwDA16x1lGNCMKEwYSBox9CcOIqhlvvNUqnEZLQ80I4p9A8+NaENp4igkF3M9x+6r/sQhGKZW0hjLKa4P4HDwb6l3YdNfizTRnziEw6GXM96x3DPwjPPuGzKebfWVZkRgmFrWvuONKb3/TehO7kaTpzPOma/vg4nj2DfwXM7x3jfwXN536NPnWCR5KmPbQOIwhpJn8ubuyPZEkt2w+zphhBDRTuF0bAdiI9qhmwnsG3gOQ8n+UY99tsY7FzUjij0Dz6Avvt95zJoHJnQjBt3UcCbeDhMGwknr3fiQ1uEc3x6/4UZY7e+N70RY6x61Pen9P6T3OT2QNKIYSvbCgIakOQS7P00zCdPUYUJHNHkKPbEd0NPmKwAYhoEzib3oje3JeDymW2Opm4mMx+1c6R3ahePhjanzpTdFR09sJ3QzgaQRgwnd2S+9XWe79uhGPG3tSQKw1qO++H6cGvoQJgyYqbZb8RgwUuOhGVEcDv4Nh0Mv58zhM/F29MR243RsB2Cmx2WiL74fewaeyZvbw+tH5rP6E4dwYHA9Dgf/BjM1PrqZyMiFYKID1tiZSBoxJI1YVg5Gkiedo4aTXak+Pvs5YMc8oB3OGXOh61Yx72vGOtbh0MupPsyxLTW2441hrHXfHveh5Jm09dZEQg8iYYSd/LYlMQTTNKEZYdifuisk78e67h8OvYz2gfWj5tXh0MsIJo7nvE73xffjdGwHTBjOfLE+D2RmzYnsa/wh9CcOZjxeymt8Me+J0tfKpBnL2BZKfATNiI65zuQ7fr6Y861jhR6fimf0e9lDWXO/0LGZCmNbtu/MmzCcj1tVgp7YrqyBt1VaWyYTu1+jI27QAEAzwtCMMOzJan0kZnji6mYcUf007BupkUoxLqPlQVQ/PWo7ih1HIbmY6znpfZXQQyWNsZx6YrsQ0a13/bKZiGgnnbYdCb2KhB7KKnbSGaYOzYhk7TvemDIvPsPF2sg48/X9kdCrY473kdCrBcVi5ebIPjIxoB3Mm7tj5Rxgoif+H+Sah5oRgQkDg9qRUY99tsY7F6PJU0joodSaglRxNjwmpqk723IxTR2GmXmDbD1uoif2n1Hb4/S/M//s1wFM6GYCpmmkbtPTit9U8Z7Qwzlz1YQO0zQR1TPb2B+3xtLK35H7GNgz8CxMGKlP6AzTzRgA08l7K1+H97PbdbZrj/Ux49Tak+pj++stuhkf5XhWcRXVTyOin0REO5nqw0yaEUZM70tFkMzaZn11YezcHmv9OBNvT223xI2BjOfqI14YieqnrY9xw8CQ3uscJ/2YdjxnOwfGs+blO06x7mvGOlZEO5nRhxnbUmM73hjG6gN73Ae0kYU0Ml7Ids5jwinw++MHs859Ntf9iHYS/Vp7zvjsMcq1ttvzwlqTjKz9R86Jkfva82z4RQD7jKW5xhfznijftco+Zr5rUr62nu06VujxqXhy3stm5HnmC3OFjM1UGFulnCezv+9XCezvvgGA7A9BNaQR2yunLZOJ3a+6GUcycMC6qVXC0N2nrYuRACCS0GsOwPAMX7iSgQMQcgCmYb16ayghGNVHIHmGRhy/uOOSngdqQw9kv3Vjqqfi0M045EBp88OOQSgalLpeSN7oiO1B2BdCyRWHUtsLyT0EPTn8SrfuPQF3Q3PJYiynhDHo9L/mO2blkDycB7oZd9o2pPfAMJMwYSDseRdKchqGXPthCgMx9TDU5DTE3O2QUzdC6fuONyabWteHhNnh/Jz0dEOvaQeEmfb80c9hf9/Sat8RqMELYbh60rb35totKxbdjEN3B5Go3omkpwPC8FnHNCKQhcvKXV8Yav3pHLFZPws5CaP6EHS3dYOWCOyDqYacd190ZQAxTzuEy3qxyL6h1DAApb4HkjezyPw4OZfex0rNGSfmjLnoD0NtOOX8bK8pmu8o9KSJIY/1znbMcwC6iDvx6mof4oHdMJQgIEyEfG8jrnYASCKqHoQpkhhyHcCg/x9W+1LfZ8/VHqf/jRiS3k4Iww3NGELcY727G/K9DV0egAQVuogiKffChIGI/z1ElH0wYUJAIOzehqr4J1NxWG3VxCD06kPOGqCZVv8aSELzH4SkNWTEEtV74FebocuDSFbtgeHuRqJ6J+JuKz8NMwmtqh1QZQD+tDYEs/pcrgpCqJkFQ3quAIDkjUCp68GQCDkPG75OuKU6JOzxgImQ/18Qhjs1FzVE3HugoAqGmXTGE7AOrbsHkajeCV3ph+katJ5japCEhJhvL2SjCklPl9MPMK2xV6qCEHLmjZ8dr7N++A9Dcp+GnqwGhOaMrW7EINQElNpeDKnWCwqmEsKQ/0MklG544EPSfwRC90FJi1dHCGbNQeieUzClISQCe6GrfdDN6qy+HQ9nzRMaEtU7YcghGOrw2BS6bmWMpycKpbYXQtHSthceW8Z8rB6AmVQz4rHHf+R50sdXresteI3IWPer9kJXzwBCt+4F9NS6Y0QAzwnEqz9E3OhHzH0QJkyEvFuRTCxAUhqAbASgyacQ8WyHCw2AGc06t9M2yYBSfxpyKsb0tcZbewZCGs4v3YxDM6KQhQot0A5huqC7zmRsH9J7oUrWPJP8IagNpxE1h9ehsP8dGHIEmqsTcfchCNOVPScAqA2nIPsyXxgzqg9D9lVnPK8U1/jsvsm+J1KqB2Dqct5YMu8H22HKMeiuPiQCe2EoIeiGkrbv8DqjBIIQwhxxrNHbmn0fFxqxPfP4an0PZF/xrl1UuMxrziCEO4Z4Rp4fghzwjthn7LFxjilMqPWnz8mxLWsx75Kq8z9pknBJNc7/ZV8Usi86YnvltGUysftVFm4MVVm/fCtZZf3CGklPpaMAxPTdkAHYb7xoVe1wqzMBeAAdgKQDzTsg5Fkjjl/ccUnPA3dzl/N/WbLikIUbsjcK2Vu6/LBjEALwtGR/xDr9XEIy4ZlpPUc2Un0FQPbE4K7uGnW/SuKSapz+130d0H0dGdtl4Xba5pWbIAkFAhJ66/4Iw0zCgOa8Sjvk2QuXVA1VNGXtO96YbGp9L6REr5O7phqEaN4LIVrTnj/6Obxyk/N/0zWISOtzI7Y3FhSLLNww1V7EGjdnbFclPwxTgyzckFwJuM/7aMT+afkkADTvhJlMFY811ivYquFDXI8DQkdo+nq4ZeucklAAE1AlHzznZY5Lvnbnk9HHdcM3yelzUXLF4Z7R6bRfEtaaovs6EHXvGr5Z9xyF5umAKlIFrJyANv0tIPWqf3/dn2EYUQACXY0/s/oCMs64/mKdX/hGbY/T/5IHhrsTcXcP4vogNCMIYUgI+9+CCROycGHIu8d6EQJuhKs3I6GHIUwBAOipexa9+EOqT0XqmApE805I6qxUHKnCAAoS9duyYvGlckmWXAg3bQIAKx/0CGBY46VV74ZbaUF6MW+3K73PlUAICGTeBI9sv6Qm4WnpQEJzw34jRPJG4K7pRjxhj4fAYPX/WuNixhH17nTGyyearPEErLdPhcjKYUlXIAsVJnRovoMYqhp+916CAojUuuwPOy++jozXzplk4FBWn6nCB1nyOGtpQpMADYAwEG58FSL1vKT/KADALc20P3oBWfYAzbthatZ5Y9P+4bRttD4rhLPmCWTNZ/v4hRw3fTyFojvXirOJLSM3qjN/ybEs3KnFI/s8suRx+svVlP0u7mgxpK/7iVrrFyfq/mMA4MxzVfLDcA0g3vgWwtoJJPR+CFOgP/AaBvD/Mo4X8f4HSbkKNWJO1rkzrrlp62P6WqPW9WUcTxZuqJIPhqkhWXXAua9J3+6VG52vvMieGOTmruF5YQLRmrdgQof90rTm7oRLVGfMCSEwvMYlhvNK1HdAUVvTT1mSa3whfaPUDOTYb4y1UrgxVL3XedyZN6l2j9xX9kcg+zMLsrHamnEfN/1E3tjGk5dUXBnrSpV1vY6l53nj0XHneXrOjrzfKWT/SlC2j9kLSGjyLCnX6T62Js8SiFG6p9LaMpnY/epTpgPObZFFlQJQpQAAAZ8yfcRzBHzyNPjkaanHRGr7sFKMy2h54JOnpbUjU7HjKCQXcz2n3H1VLk2eJfDLzRiZPxYBv9rstG1O1TK45CrIwgUAkITs7CcgIEGFLFypd0sy9x1vTOn9nyt3hyMcu+/nVC0bc7znVC0rKJZccwwQqFXn5c3d9PZkH0egyb0Udm7Z7zQB1s20gIRa17xRj322xjsXfcp0uOSq1JoCZ4ztaDxyg7PN7hd7u19phiSUVL7Yz7D+L4RAk2fpqO1x+t+Zf8PnloULiuSDENb/ZWG9m2n9KxBQW5xcBeCcX0CGEAJ+eUZGO+vc1limj8FwvBIurL0zZy7Y8dj/ph8zvV3FXHt8ynSoUsAqtKXhttuseRiAT54Gv9wMv9qc0YfDsQfgkRswMvfsbS65Km9uj7V+1LsXpLaPbEv6NWr4+T55GnzKdGfMs2Me7oOznQPjWfPyHadY9zVjHcuvNmf0Yca21NiON4ax+sAe9/Q57JHrAQCSUCFSj0mwck4IQBVeAAJ17nlZ5z6b675fbUaduiBnfPYY5Vrb7XlhrUn1GJk7I+fEyH2deZZ2jRnZnmIq5j1RvmuVfczR1pl8x88Xc/q+vOefHHJeTz5mnk+FsS1LMS8g4YLAjXDLteU4XVG45VrMCvxPVgJUYlsmE7tfVcmHWtdcpN9c17sXosG9CHWueVAkDxTJg1rX3FRx0OY8Vuea5zwHzt6lGZfR8kCVfFhc+0Woki/j8VLEUUgu5npOufuqXNxyLeZWr0Cda/jGzSJQ55qHtqrPOG2rds3ChbV3wac0QZGsmzdZqJAgQ4IKVfbDqzRAEmrWvuONKb3/c+WuFWH+vq92Wb9RO9d4L679Iqpds0bZMzOWXHOs1tUGr1KfN3fT22O3xb6Y1rra4FenY5rnEnjlBuddMcAqyBbX3gmvUj/qsc/WeOeiKvlwYe1daHAvtCIQCjxyHeyb5kbPhah3L3DGyKPUOmPW5F3qFOySUCFBgRACQgg0upcioM4YtT25+t86dz28SiN8yjT45OkQQoYQMvxKM4SQ4ZEbMN17OZo8l1g5mnoXGwAkSUK960JM816SMZc9cj0W1X4x4wUAu78X134Rjd4lOXNBEiqaPEshCxdqXXNHzc9irj2K5EGDeyGmey+FV26EEHJqTgKK5IVXaUS9eyFUyYe26pWYW7VylOvEAjR5LsI0zyWQMl4QEGhwL8JFtV/Om9tjrR8LalZhbvWKnHO53r0A9W67YBPO3FYlHxbV3gFV8uWYL1b/fpw5MJ41L99xinVfM9ax2qo+k9GHGdtSYzveGMbqgwb3IlxYexe8Sr3T94rkgV9phksKwCVVpeawBFmoUIQfkmTNAbdcW3Dej3Xdb6v6DBbUfn7MMap2zco5VxrcCzHNcwkUyeusUfY6NXJOZM+ztrJe44t5T5TvWqVKvjHXmXzHzxdzvnWs0ONT8Yx+PTn7PJ8KY1uWP0331O8fR13VjFKdpqTsv5OaMIJwSdVo8iw5JwZ+otn9Gkl2YyjZC6/SCL8yw3mFLL3Pq9VWBLWOjDEY+ZxSj8toeVDO/CjkXLmeA5S3r8olrg/gRPQd9Mb3ACbQ6LkI5/k+mbNtwcRxHAj+Bb2xXdCMIVSrrXBLNYAwIQvPmPuON6Z8uVvoOYKJ4zgSehVDei+8ciPmVC3LW8jniiXXHCs0d9OfY70zbf3iNvv5cX0wZ4ylnBfjnYtWnmxFb2w3IIAa9QKoUgAm9JxjlP5zLNmHk0PbEdN7AUg4z3cNGj0XFdSeXP1vfZzPRMIIIZT4CElzCLLwoMY1G6rkc/pWgoz9wecxmDgKRfJhTuAWtFWvBJB7LufLldFyodD8LObaA1h/h/5k9H1EjdNwS9XwyPWoUmdm5OdYcQ8fJ/f8LzTesdaPseZyrrkw8rzWjaNw8qwYc2A8a16+4xRrfo51rLPdlu98+cY9PV8EZAQTxxBJdiOSPAWfMh0BZQaqXRdAkTxnlff52pVvjEabK/Z+uhGDIvnGnBMTfY0v5j1RvmtVIef9ODEX6/hUPKXI83N5bMtSzK9btw4+ny//DkRERERERESUV9m+M09ERERERERExcFinoiIiIiIiKjCsJgnIiIiIiIiqjAs5omIiIiIiIgqDIt5IiIiIiIiogrDYp6IiIiIiIiowrCYJyIiIiIiIqowLOaJiIiIiIiIKgyLeSIiIiIiIqIKw2KeiIiIiIiIqMKwmCciIiIiIiKqMCzmiYiIiIiIiCoMi3kiIiIiIiKiCsNinoiIiIiIiKjCsJgnIiIiIiIiqjAs5omIiIiIiIgqDIt5IiIiIiIiogrDYp6IiIiIiIiowrCYJyIiIiIiIqowLOaJiIiIiIiIKgyLeSIiIiIiIqIKw2KeiIiIiIiIqMKwmCciIiIiIiKqMCzmiYiIiIiIiCoMi3kiIiIiIiKiCsNinoiIiIiIiKjCsJgnIiIiIiIiqjAs5omIiIiIiIgqDIt5IiIiIiIiogrDYp6IiIiIiIiowrCYJyIiIiIiIqowLOaJiIiIiIiIKgyLeSIiIiIiIqIKw2KeiIiIiIiIqMKwmCciIiIiIiKqMCzmiYiIiIiIiCoMi3kiIiIiIiKiCsNinoiIiIiIiKjCsJgnIiIiIiIiqjBKKQ9umiYAYGhoqJSnISIiIiIiIqo4Xq8XQoiz2rekxXwwGAQA3HvvvaU8DREREREREVHFefrpp1FbW3tW+5a0mPf7/di7dy/efPNNBAKBUp6KaFSRSATXXXcdtmzZAr/fP9Hh0BTFPKTJgHlIkwHzkCYD5iFNNDsHZVk+62OUtJiXJAnJZBI+nw8+n6+UpyIalWEYMAwDXq+XeUgThnlIkwHzkCYD5iFNBsxDmmh2Dp7tR+wB/gI8IiIiIiIioorDYp6IiIiIiIiowpS0mHe5XLjvvvvgcrlKeRqiMTEPaTJgHtJkwDykyYB5SJMB85AmWjFyUJj2348jIiIiIiIioorAj9kTERERERERVRgW80REREREREQVhsU8ERERERERUYVhMU9ERERERERUYVjMExEREREREVUYpZwne+qpp7B161YcPnwY/f398Hq9aGlpwYoVK3D77bfD6/WWMxyagqLRKDZu3IhNmzZh//796O7uhsvlwsKFC3H77bdj+fLlEx0iTRHbtm3Dpk2bsHv3buzduxfhcBi33XYbHn744YkOjc5BO3fuxBNPPIEdO3ZA0zS0tbXhS1/6ElasWDHRodEU8dJLL2H79u3YvXs3Dhw4AE3T8POf/xyf/exnJzo0miJOnTqF1157DVu2bMGRI0fQ29uLmpoaXHbZZbj77ruxdOnSiQ6RpoBgMIjHH38cu3btQmdnJwYHB1FXV4fZs2djzZo1uPHGGyGEKPh4Zf3TdNdffz3q6uowf/58NDQ0IBqN4r333sPBgwexcOFC/OlPf2JBTyW1ZcsWfO1rX0NtbS2uvvpqnH/++ejr68PGjRsRDAZxxx134KGHHproMGkK+N73vocXX3wRXq8XM2bMwJEjR1jMU0m8++67+OpXvwpVVbFs2TJUVVXh9ddfR2dnJ77zne/g3nvvnegQaQq4/vrr0dXVhbq6Ovh8PnR1dbGYp7L65S9/iaeffhqtra248sor0dDQgOPHj+ONN96AaZp45JFHcMstt0x0mHSOO378OG699VYsXboUra2tqK2tRV9fH95880309fVh1apV+MlPflLw8cpazMfjcbjd7qzH77//frz00kv4wQ9+gDVr1pQrHJqC9u/fj4MHD+Lmm2+GqqrO4729vVi1ahW6urqwfv16XHzxxRMYJU0Fu3btgsfjwZw5c7Br1y6sXr2axTwVXTKZxKc//WmcPHkSzz//PBYvXgwACIfDuP3223H06FG8+uqruOCCCyY2UDrnvf3225g1axZaWlrw1FNP4ZFHHmExT2X1+uuvo76+HldccUXG4++//z7uuusu+P1+/Otf/4LL5ZqgCGkq0HUdpmlCUTI/IB8Oh7F69WocOnQIr7zyCubNm1fQ8cr6nflchTwA3HTTTQCsVyqISmnhwoVYsWJFRiEPAI2NjVi9ejUA6+PPRKW2ZMkSzJs3D7IsT3QodA7bunUrOjo6sHz5cqeQB4BAIIBvfOMbSCaTeOGFFyYwQpoqrrnmGrS0tEx0GDSF3XjjjVmFPABcccUVuOqqqzAwMID29vYJiIymElmWswp5wLouX3vttQDGVxNPil+At3nzZgAo+BUIolKwJxaLKyI6V7z33nsA4NwgpPvUpz6V8RwioqnKvgfMVWQRlUM8HsfWrVshhEBbW1vB+01Ixj7zzDMIhUIIBoP44IMPsHv3blx77bW49dZbJyIcIui6jr/+9a8QQuCaa66Z6HCIiIri2LFjAIBZs2ZlbaupqUFdXR0/FUdEU9qJEyfw9ttvo6mpCfPnz5/ocGiKCAaDWLduHQzDQF9fH7Zs2YLu7m7cd9994/rq24QU888++yy6urqcn1euXIkf/ehHWR99JiqXX/3qVzhw4AA+97nPcSEnonNGOBwGAFRVVeXcHggEcPLkyXKGREQ0aWiahvvvvx+JRALf/e53+elMKptgMIgnn3zS+VlVVdx///34yle+Mq7jjLuYt79TUqhnn30WV111VcZjmzZtAgD09PTg3Xffxdq1a7Fq1Sr87ne/Q3Nz83hDoimoGHloe/755/Hb3/4WixcvxgMPPFCkCGkqKGYeEhERUfkYhoHvf//72LZtG1atWsVPCFNZzZw5E+3t7dB1Hd3d3fj73/+ORx99FB9++CEee+yxgr/yMe5ifvny5YhEIgU/v7GxcdRtTU1NWL58OVpbW/H5z38eDz/8MB577LHxhkRTULHy8C9/+Qt++MMfYv78+fj9738Pv99frBBpCijmekhUCoFAAAAQCoVybg+Hw6O+a09EdK4yTRMPPvggXn75ZaxcuRI//vGPJzokmqJkWcbMmTNxzz33QJIkrF27Fn/+85/xhS98oaD9x13Ml+JvcF988cWoqanhL+GhghUjDzds2ICHHnoIbW1tWLduHerq6ooQGU0lpVgPiYrJ/t7d8ePHcdFFF2VsGxwcRH9/Py699NIJiIyIaGIYhoEHHngAL7zwApYvX46HH34YkjQpfic4TXHXXnst1q5di/fee6/gYn5SZG4kEkEoFOL3VKhsNmzYgAcffBBz5szBunXrUF9fP9EhEREV3ZVXXgkAeOutt7K2/fvf/wYAfOITnyhrTEREEyW9kL/lllvwi1/8gvUHTRqnTp0CML6/rFW2Yr6rqwudnZ1Zj2uahp/97GcwDAPXXXdducKhKWz9+vUZhXxDQ8NEh0REVBJXX301zj//fLzyyivYt2+f83g4HMavf/1rKIqC2267bQIjJCIqj/RC/uabb8batWtZyFPZ7du3L+dX3wYGBvDoo48CwLhqYmGaplm06Mbwxhtv4Jvf/CauuOIKzJo1C3V1dejt7cU777yD7u5uzJ49G8899xy/U0ol9c477+DLX/4yTNPE6tWr0dTUlPWcRYsW4YYbbpiA6Ggqef/997FhwwYAwJkzZ7B582a0trbi8ssvBwDMmTMH99xzz0SGSOeIrVu34u6774aqqli+fDkCgQBef/11dHZ24tvf/ja+/vWvT3SINAWsX78e27dvBwAcOHAAe/bswWWXXeb82cQbbriB114qqSeeeAJPPvkkfD4f7rzzzpy/YOyGG27AokWLJiA6mip++tOfYsOGDbjqqqtw3nnnwev14sSJE/jnP/+JaDSKm266CY899ljBX/0o25+mW7x4Me68805s27YNGzduRCgUgs/nw9y5c7FmzRqsWbMGPp+vXOHQFNXd3Q379avnn38+53Nuu+023lBQyXV0dODFF1/MeqyjowOA9dFnFvNUDJ/85Cfxxz/+EY8//jhee+01aJqGtrY2fOtb38LKlSsnOjyaIrZv35615n3wwQf44IMPAAAtLS289lJJ2X8WOxqN4je/+U3O57S0tLCYp5K66aabEA6HsWPHDmzbtg2xWAw1NTW4/PLLceutt2LZsmUQQhR8vLK9M09ERERERERExTEpfgEeERERERERERWOxTwRERERERFRhWExT0RERERERFRhWMwTERERERERVRgW80REREREREQVhsU8ERERERERUYVhMU9ERERERERUYVjMExEREREREVUYFvNEREREREREFYbFPBEREREREVGFYTFPREREREREVGFYzBMRERERERFVmP8PUqHZT5ssbacAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the densities\n",
    "fig, (ax_top, ax_bottom) = plt.subplots(2, 1, figsize=(10, 6), sharex=True, gridspec_kw={'height_ratios': [5, 1]})\n",
    "\n",
    "# Densities and samples\n",
    "ax_top.plot(x, q, label=r'$q(\\theta|y)$')\n",
    "ax_top.plot(x, g, 'C3--', label=r'$Mg(\\theta)$')\n",
    "ax_top.set(xlim=(x[[0, -1]]), yticks=[])\n",
    "ax_top.fill_between(x, q, color='C0', alpha=0.1)\n",
    "\n",
    "# remove bottom xticks and spines\n",
    "ax_top.spines['bottom'].set_visible(False)\n",
    "ax_top.tick_params(axis='x', which='both', bottom=False)\n",
    "\n",
    "# Plot rejected and accepted samples\n",
    "ax_top.plot(r1[~acc], r2[~acc], 'C2o', label='rejected')\n",
    "ax_top.plot(r1[acc], r2[acc], 'C1o', label='accepted')\n",
    "ax_top.legend()\n",
    "\n",
    "# Only accepted samples\n",
    "ax_bottom.plot(r1[acc], np.ones(acc.sum()), 'C1o', alpha=0.5, mec=\"none\")\n",
    "ax_bottom.set(yticks=[], xlim=(x[[0, -1]]))\n",
    "\n",
    "\n",
    "# Add inter-axis lines\n",
    "for sample_idx in range(nsamp):\n",
    "    if acc[sample_idx] and x[0] <= r1[sample_idx] <= x[-1]:\n",
    "        x_pos = r1[sample_idx]\n",
    "        \n",
    "        fig.add_artist(ConnectionPatch(\n",
    "            xyA=(x_pos, 1),\n",
    "            xyB=(x_pos, r2[sample_idx]),\n",
    "            coordsA=ax_bottom.transData,\n",
    "            coordsB=ax_top.transData,\n",
    "            axesA=ax_bottom,\n",
    "            axesB=ax_top,\n",
    "            color='0.75',\n",
    "        ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# alternative proposal distribution\n",
    "g = np.empty(x.shape)\n",
    "g[x <= -1.5] = np.linspace(q[0], np.max(q[x<=-1.5]), len(x[x<=-1.5]))\n",
    "g[(x > -1.5) & (x <= 0.2)] = np.linspace(\n",
    "    np.max(q[x<=-1.5]),\n",
    "    np.max(q[(x>-1.5) & (x<=0.2)]),\n",
    "    len(x[(x>-1.5) & (x<=0.2)])\n",
    ")\n",
    "g[(x > 0.2) & (x <= 2.3)] = np.linspace(\n",
    "    np.max(q[(x>-1.5) & (x<=0.2)]),\n",
    "    np.max(q[x>2.3]),\n",
    "    len(x[(x>0.2) & (x<=2.3)])\n",
    ")\n",
    "g[x > 2.3] = np.linspace(np.max(q[x>2.3]), q[-1], len(x[x>2.3]))\n",
    "M = np.max(q/g)\n",
    "g *= M\n",
    "\n",
    "# plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, q)\n",
    "plt.plot(x, g, linestyle='--')\n",
    "plt.fill_between(x, q, color='C0', alpha=0.1)\n",
    "plt.legend((r'$q(\\theta|y)$', r'$Mg(\\theta)$'))\n",
    "plt.xlim([x[0], x[-1]])\n",
    "plt.title('alternative proposal distribution');"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "bda_py_demos",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
